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All Textbook Solutions for Precalculus
Complete the table.2RE3RESimplify without absolute value bars. a.w4forw4b.w4forw4a. Write an absolute value expression to represent the distance between 2and5 on the number line. b. Simplify the expression from part (a) without absolute value bars.For Exercises 6-8, simplify the expression. a.162b.162c.162d.16e.16f.16For Exercises 6-8, simplify the expression. 3211+336232For Exercises 6-8, simplify the expression. 538242+252Jesse makes $150 more per week than Ethan. a. Write a model for Jesse’s salary J in terms of Ethan’s salary E . b. Write a model for Ethan’s salary E in terms of Jesse’s salary J .For Exercises 10-11, simplify the expression. 15.2c2d11.1cd+8.7c2d5.4cdFor Exercises 10-11, simplify the expression. 84x21264x2+3+13x2For Exercises 12-15, simplify completely. Write the answer with positive exponents only. a.90b.90c.9x0d.9x0For Exercises 12-15, simplify completely. Write the answer with positive exponents only. a.1m5b.m5c.8m9n2d.8m9n2For Exercises 12-15, simplify completely. Write the answer with positive exponents only. 12a3b42For Exercises 12-15, simplify completely. Write the answer with positive exponents only. 12u5v234u3v21Write the numbers in scientific notation. a.4920b.0.00492c.4.9217RESimplify. 8.61034.11082.0106For Exercises 19-21, simplify the expression. Write exponential expressions with positive exponents only. a.2564b.2564For Exercises 19-21, simplify the expression. Write exponential expressions with positive exponents only. 81253For Exercises 19-21, simplify the expression. Write exponential expressions with positive exponents only. a.10,0003/4b.10,0003/4c.10,0003/4d.10,0003/4e.10,0003/4f.10,0003/4For Exercises 22-26, simplify the radical expressions. Assume that all variables represent positive real numbers. 54xy12z143For Exercises 22-26, simplify the radical expressions. Assume that all variables represent positive real numbers. 32b3c15d84For Exercises 22-26, simplify the radical expressions. Assume that all variables represent positive real numbers. 3xy5381x7y23For Exercises 22-26, simplify the radical expressions. Assume that all variables represent positive real numbers. 1035For Exercises 22-26, simplify the radical expressions. Assume that all variables represent positive real numbers. 5a356a45For Exercises 27-29, add or subtract as indicated. Assume that all variables represent positive real numbers. 15125+32201480For Exercises 27-29, add or subtract as indicated. Assume that all variables represent positive real numbers. 2c54c2d33+5cd2c2310d250c53For Exercises 27-29, add or subtract as indicated. Assume that all variables represent positive real numbers. 35t+8t5tFor Exercises 30-38, perform the indicated operations. 4x33x2+7+3x36x2+2xFor Exercises 30-38, perform the indicated operations. 7.2a2b3+4.1ab23.9b0.8a2b33.2ab2bFor Exercises 30-38, perform the indicated operations. 5w3+6y22w3y233REFor Exercises 30-38, perform the indicated operations. 9t49t+4For Exercises 30-38, perform the indicated operations. 13m14n313m+14n3For Exercises 30-38, perform the indicated operations. 5k32For Exercises 30-38, perform the indicated operations. 6c2+5d32For Exercises 30-38, perform the indicated operations. 2v1+w2v1wFor Exercises 39-42, multiply the radicals and simplify. Assume that all variable expressions represent positive real numbers. 652325+53For Exercises 39-42, multiply the radicals and simplify. Assume that all variable expressions represent positive real numbers. 7221172+21141REFor Exercises 39-42, multiply the radicals and simplify. Assume that all variable expressions represent positive real numbers. x+2+42For Exercises 43-59, factor completely and write the answer with no negative exponents. 80m4n848m5n316m2nFor Exercises 43-59, factor completely and write the answer with no negative exponents. 11p22p+122p2p+1For Exercises 43-59, factor completely and write the answer with no negative exponents. 15ac14b10a+21bcFor Exercises 43-59, factor completely and write the answer with no negative exponents. t+12t26For Exercises 43-59, factor completely and write the answer with no negative exponents. 8x340x2y+50xy2For Exercises 43-59, factor completely and write the answer with no negative exponents. 256a4625For Exercises 43-59, factor completely and write the answer with no negative exponents. 3k481kFor Exercises 43-59, factor completely and write the answer with no negative exponents. c+23+d3For Exercises 43-59, factor completely and write the answer with no negative exponents. 25n2m212m36For Exercises 43-59, factor completely and write the answer with no negative exponents. x272+8x27+15For Exercises 43-59, factor completely and write the answer with no negative exponents. 2p524p+12For Exercises 43-59, factor completely and write the answer with no negative exponents. m6+9m3+8For Exercises 43-59, factor completely and write the answer with no negative exponents. x4+6x2y+9y2x23yFor Exercises 43-59, factor completely and write the answer with no negative exponents. 7w8+5w7+w6For Exercises 43-59, factor completely and write the answer with no negative exponents. 12x7/24x5/2For Exercises 43-59, factor completely and write the answer with no negative exponents. x2x+53/4+2x+51/4For Exercises 43-59, factor completely and write the answer with no negative exponents. 2x1x21/2+x2121x21/22xFor Exercises 60-61, simplify and state the restricted value on the variable. 24a2c5d216c6d7For Exercises 60-61, simplify and state the restricted value on the variable. m216m2m12For Exercises 62-70, perform the indicated operations. 2x5yx3yx5y76x15yFor Exercises 62-70, perform the indicated operations. 4aca2+4aca2+8ac+16c28a+32cFor Exercises 62-70, perform the indicated operations. 5x2+25x+12516xx3x3125x29x+20For Exercises 62-70, perform the indicated operations. 720x+215x4For Exercises 62-70, perform the indicated operations. 69x2y213x2xyFor Exercises 62-70, perform the indicated operations. 4x2+3x+32xFor Exercises 62-70, perform the indicated operations. x1x6+56xFor Exercises 62-70, perform the indicated operations. 116x+1814+18xFor Exercises 62-70, perform the indicated operations. 5m1n125m2n2For Exercises 71-74, simplify the expression. Assume that all variable expressions represent positive real numbers. 5kFor Exercises 71-74, simplify the expression. Assume that all variable expressions represent positive real numbers. 5k4For Exercises 71-74, simplify the expression. Assume that all variable expressions represent positive real numbers. 15107For Exercises 71-74, simplify the expression. Assume that all variable expressions represent positive real numbers. x4x+2For Exercises 75-90, solve the equation. 8t4+7=4t31t+6For Exercises 75-90, solve the equation. m+23m44=m+161For Exercises 75-90, solve the equation. x5+2x4=3x+15For Exercises 75-90, solve the equation. 0.2x+1.6=x0.8x2For Exercises 75-90, solve the equation. x+35x+2=x4xFor Exercises 75-90, solve the equation. 3y24y=86yFor Exercises 75-90, solve the equation. 2v+321=6For Exercises 75-90, solve the equation. 2dd3=1+4dFor Exercises 75-90, solve the equation. 4x36x220x+30=0For Exercises 75-90, solve the equation. n3n+2+1=4n2For Exercises 75-90, solve the equation. k+73k=2For Exercises 75-90, solve the equation. 5114x+4=x2For Exercises 75-90, solve the equation. x112/3=9For Exercises 75-90, solve the equation. 23y10+4=6For Exercises 75-90, solve the equation. 6w+7=2For Exercises 75-90, solve the equation. 10w2/3=110For Exercises 91-96, solve for the indicated variable. 4x3y=6foryFor Exercises 91-96, solve for the indicated variable. ta=t1+t22fort2For Exercises 91-96, solve for the indicated variable. 4x+6y=ax+cforxFor Exercises 91-96, solve for the indicated variable. s=a0t2+v0t+s0fortFor Exercises 91-96, solve for the indicated variable. m=122a2+2b22c2fora0For Exercises 91-96, solve for the indicated variable. 1a=1b+1cforbFor Exercises 97-98, simplify the expressions. 164For Exercises 97-98, simplify the expressions. Simplify the powers of i . a.i35b.i56c.i62d.i17e.i5For Exercises 99-103, perform the indicated operations. 23+35i16+25iFor Exercises 99-103, perform the indicated operations. 47i5+iFor Exercises 99-103, perform the indicated operations. 46i2For Exercises 99-103, perform the indicated operations. 83i8+3iFor Exercises 99-103, perform the indicated operations. 4+3i3iFor Exercises 104-108, solve the equation. 10t2+1210=0For Exercises 104-108, solve the equation. xx4=9For Exercises 104-108, solve the equation. 6d2/37d1/33=0For Exercises 104-108, solve the equation. 2u212102u21+9=0For Exercises 104-108, solve the equation. 24w+12104w+1=0For Exercises 109-111, (a) evaluate the discriminant and (b) determine the number and type of solutions to each equation. 4x220x+25=0For Exercises 109-111, (a) evaluate the discriminant and (b) determine the number and type of solutions to each equation. 2y2=5y1For Exercises 109-111, (a) evaluate the discriminant and (b) determine the number and type of solutions to each equation. 5tt+1=4t11Shawna invested a total of $12,000 in tyro mutual funds: an international fund and a real estate fund. After 1 yr. the international fund earned the equivalent of 8.2 simple interest and the real estate fund returned 1.5. If the total earnings at the end of the year was $749.50, determine the amount invested in each fund.Cassandra bought a 10-yr Treasury note that paid the equivalent of 3.5 simple interest. She invested $4000 more in a 15-yr bond earning 4.1 than she did in the Treasury note. If the total amount of interest from these investments is $10,180, determine the amount of principal for each investment. Assume that each investment was held to maturity.A chemist mixed 100 cc of a 60 acid solution with a 20 acid solution to produce a 25 acid solution. How much of the 20 solution did he use?Suppose that 250ft3 of dry concrete mixture is 50 sand by volume. How much pure sand must be added to form a new mixture that is 70 sand by volume?When Kevin commuted to work one morning, his average speed was 45 mph. He averaged only 30 mph for the return trip because of an accident on the highway. If the total time for the round trip was 50 min 56hr, determine the distance between his place of work and his home.Two boats leave a marina at the same time. One travels south and the other travels north. The southbound boat travels 6 mph faster than the northbound boat. After 3 hr, the distance between the boats is 66 mi. Determine the speed of each boat.A tablet computer has a 7-in. diagonal screen. The length is 2.7 in. more than the width. find the length and width of the screen. Round to 1 decimal place.A fireworks mortar is shot straight upward with an initial velocity of 200 ft/sec from a platform 2 ft off the ground. a. Use the formulas s=12gt2+v0t+s0 write a model for the height of the mortar s (in ft) at a time t seconds after launch. Assume that g=32ft/sec2. b. How long will it take the mortar (on the way up) to clear a tree line that is 80 ft high? Round to the nearest tenth of a second.Petra and Dawn are typesetters for a publishing company. Petra can typeset 50 pages in 4 days and Dawn can typeset 50 pages in 3.5 days. How long would it take them to typeset a 150-page manuscript if they work together?One pump can drain a pond in 22 hr. Working with a second pump, the two pumps together can drain the pond in 10 hr. How fast can the second pump drain the pond by itself?For Exercises 122-127, solve the inequality. Graph the solution set and write the solution set in set-builder notation and interval notation. 423p+14For Exercises 122-127, solve the inequality. Graph the solution set and write the solution set in set-builder notation and interval notation. 2+y3y14y6For Exercises 122-127, solve the inequality. Graph the solution set and write the solution set in set-builder notation and interval notation. a.2x1+4x+3or5x+234x+1b.2x1+4x+3and5x+234x+1For Exercises 122-127, solve the inequality. Graph the solution set and write the solution set in set-builder notation and interval notation. 114x17For Exercises 122-127, solve the inequality. Graph the solution set and write the solution set in set-builder notation and interval notation. 03x+946Write an inequality to represent the following statement. A pilot is instructed to keep a plane at an altitude a of over 29,000 ft, but not to exceed 31,000 ft.The months of June, July, August, and September are the wettest months in Miami, Florida, averaging 7.83 in./month. If Miami gets 8.54 in. in June, 5.79 in. in July, and 8.63 in. in August, how much rain is needed in September to exceed the monthly average for these 4 months?For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in interval notation if possible. a.w+2+1=6b.w+2+16c.w+2+16For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in interval notation if possible. a.3=7x+1+4b.37x+1+4c.37x+1+4For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in interval notation if possible. a.y+53=3b.y+533c.y+533d.y+533e.y+533For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in interval notation if possible. a.x1=3x+5b.x1=x+5c.x1=1xFor Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in interval notation if possible. 4x+2106For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in interval notation if possible. 0.5x80.01For Exercises 130-136, solve the equation or inequality. Write the set to the inequalities in interval notation if possible. 942k1For Exercises 137-138, (a) write an absolute value inequality that represents the given statement and (b) solve the inequality. The distance between xand3 on a number line is no more than 0.5.For Exercises 137-138, (a) write an absolute value inequality that represents the given statement and (b) solve the inequality. The distance between tand2 on a number line exceeds 0.01.Write the set-builder notation representing the interval 3,5.Simplify without absolute value bars. 5tfort5.a. Find the distance between 2 and 2 on the number line. b. Simplify without absolute value bars.a. Determine the restriction sony . 2y22y29y22 b. Simplify the expression.For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 6+49x23x5+3For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 724824224+6For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 2a3b424a2b71For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 120+133+141For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 80k15m2n73For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 348p2q342p3q413TFor Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 12n2412n23n+5For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 3a+bc3a+b+cFor Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 14zp214z+p2For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 5x+23x22For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. x6z2For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 3x2x3+14x2+49x8x44x2+26x14For Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. x2x5+10x255xFor Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 12y3+4y2+1y3y2+4y22TFor Exercises 7-23, perform the indicated operations and simplify the expression. Assume that all radical expressions represent real numbers. 613+1024T25TFor Exercises 24-31, factor completely. Write the answer with positive exponents only. x5+2x481x16227T28TFor Exercises 24-31, factor completely. Write the answer with positive exponents only. 4w6+2w5+7w430T31TPerform the indicated operations. 8.410116.01034.210533T34TFor Exercises 35-36, perform the indicated operations. Write the answer in the form a+bi . 35i236TFor Exercises 37-39, (a) evaluate the discriminant and (b) determine the number and type of solutions to the equation. 2x24x+7=0For Exercises 37-39, (a) evaluate the discriminant and (b) determine the number and type of solutions to the equation. x2+25=10xFor Exercises 37-39, (a) evaluate the discriminant and (b) determine the number and type of solutions to the equation. 3xx+4=2x240T41T42TFor Exercises 40-50, solve the equation. 6t2t+1=55tFor Exercises 40-50, solve the equation. 3x24x=1245T46TFor Exercises 40-50, solve the equation. cc+64=72c23648TFor Exercises 40-50, solve the equation. 2=x36For Exercises 40-50, solve the equation. 2v+5=2v1For Exercises 51-53, solve for the indicated variable. aP4=Pt+2forPFor Exercises 51-53, solve for the indicated variable. 16t2+v0t+2=0fortFor Exercises 51-53, solve for the indicated variable. a2+b2+c2=49forc054TFor exercises 54-60, solve the equations and inequalities. Write the answer to the inequalities in interval notation if possible. 43y24ory+72y356T57T58T59T60T61TTwo passengers leave the airport at Denver. Colorado. One takes a 2.3-hr flight to Seattle. Washington. and the other takes a 3.3-hr flight to New York City. The plane flying to New York flies 60 mph faster than the plane flying to Seattle. If the total distance traveled by both planes is 2662 mi, determine the average speed of each plane.Kelly has an aboveground swimming pool. Using water from one hose requires 3 hr to fill the pool. If a second hose is turned on. the pool can be filed in 1.2 hr. How long would it take the second hose to fill the pool if it worked alone?64T65TA golfer plays 5 rounds of golf with the following scores: 92, 88, 85, 90, and 89. What score would he need on his sixth round to have an average below 88?a. Write the set representation by the graph interval notation and set builder notation. b. Given the interval, ,43 , graph the set and write the set builder notation. c. Given the set, x1.6x5 ,graph the set and write interval notation.2SP3SPUse the definition of absolute value to rewrite each expression without absolute value bars. a.57b.75c.x+6x+6forx6Write an absolute value expression that represents the distance between 9 and 2 on the number line. Then simplify.Simplify.502[121+3(13)2]Simplify.123(5x2y)+5(3x)ya. The sale price S on a lawn mower is the difference of the original price P and the amount of discount D. Write a model to represent the sale price. b. The amount of simple interest I earned on a certain certificate of deposit is 4.65 of the amount of principal invested P. Write a model for the amount of interest.A(n) is a collection of items collection of items called elements.Z=,3,2,1,0,1,2,3, is called the set of .R is the notation used to denote the set of .A(n) number is a real number that cannot be expression as a ratio of two integers.Write an absolute value expression to represent the distance between a and b on the real number line.The properties of addition and multiplication indicate that the order in which two real number are added or multiplied does not affect the sum or product.The associative property of addition indicates that a+b+c= and the associative property of multiplication indicates that abc=.The statement ab+c=ab+ac represents the property of multiplication over addition.For Exercises 9-10, write an English sentence to represent the algebraic statement. a.3Nb.3.1WFor Exercises 9-10, write an English sentence to represent the algebraic statement. a.25Qb.QFor exercise 11-12, determine whether the statement is true or false. a.5Nb.5Wc.5Zd.5QFor exercise 11-12, determine whether the statement is true or false. a.13Nb.13Wc.13Zd.13QFor Exercise 13-18, write each statement as an inequality. a is at least 5.For Exercise 13-18, write each statement as an inequality. b is at most 6 .For Exercises 13-18, write each statement as an inequality. 3c is no more than 9.For Exercise 13-18, write each statement as an inequality. 8d is no less than 16.For Exercise 13-18, write each statement as an inequality. The quantity (m+4) exceed 70For Exercise 13-18, write each statement as an inequality. The quantity n7 is approximately equal to 4.19PE20PE21PE22PE23PE24PE25PE26PE27PEFor Exercise 25-30, graph the given set and write down the corresponding interval notation. (See Example 1) x43x7429PE30PEFor Exercises 31-36 interval notation is given for several sets of real numbers. Graph the set and write the corresponding set-builder notation. (See Example 1) (3,7)For Exercises 31-36 interval notation is given for several sets of real numbers. Graph the set and write the corresponding set-builder notation. (See Example 1) [4,1)33PEFor Exercises 31-36 interval notation is given for several sets of real numbers. Graph the set and write the corresponding set-builder notation. (See Example 1) (,3.2)For Exercises 31-36 interval notation is given for several sets of real numbers. Graph the set and write the corresponding set-builder notation. (See Example 1) 35,For Exercises 31-36 interval notation is given for several sets of real numbers. Graph the set and write the corresponding set-builder notation. (See Example 1) 78,37PE38PE39PE40PERefer to sets, C D, and F and find the union or intersection of sets as indicated. Write the answers in set notation. (See Example 3) C=xx9,D=xx1,F=x8, a.CDb.CDc.CFd.CFe.DFf.DF42PEFor Exercises 4 3-46, find the union or intersection of the given intervals. Write the answer, in interval notation. a.(,4)(2,1]b.(,4)(2,1]For Exercises 4 3-46, find the union or intersection of the given intervals. Write the answer, in interval notation. a.0,51,b.0,51,For Exercises 4 3-46, find the union or intersection of the given intervals. Write the answer, in interval notation. a.(,5)3,b.(,5)(3,]For Exercises 4 3-46, find the union or intersection of the given intervals. Write the answer, in interval notation. a.,14,b.,14,For Exercises 47- 58 simplify each expression by writing the expression without absolute value bars. (See Example 4) 6For Exercises 47- 58 simplify each expression by writing the expression without absolute value bars. (See Example 4) 4For Exercises 47-58 simplify each expression by writing the expression without absolute value bars. (See Example 4) 050PEFor Exercises 47- 58 simplify each expression by writing the expression without absolute value bars. (See Example 4) 175For Exercises 47-58 simplify each expression by writing the expression without absolute value bars. (See Example 4) 66For Exercises 47- 58 simplify each expression by writing the expression without absolute value bars. (See Example 4) a.3b.3For Exercises 47- 58 simplify each expression by writing the expression without absolute value bars. (See Example 4) a.m11form11b.m11form11For Exercises 47- 58 simplify each expression by writing the expression without absolute value bars. (See Example 4) a.x+2forx2b.x+2forx2For Exercises 47- 58 simplify each expression by writing the expression without absolute value bars. (See Example 4) a.t+6fort6b.t+6fort6For Exercises 47- 58 simplify each expression by writing the expression without absolute value bars. (See Example 4) a.z5z5forz5b.z5z5forz558PEFor Exercises 59- 64, write an absolute value expression to represent the distance between the two points on the number line. Then simplify without absolute value bars. (See Example 5) 1 and 6For Exercises 59- 64, write an absolute value expression to represent the distance between the two points on the number line. Then simplify without absolute value bars. (See Example 5) 2 and 9For Exercises 59- 64, write an absolute value expression to represent the distance between the two points on the number line. Then simplify without absolute value bars. (See Example 5) 3 and 4For Exercises 59- 64, write an absolute value expression to represent the distance between the two points on the number line. Then simplify without absolute value bars. (See Example 5) 8 and 2For Exercises 59- 64, write an absolute value expression to represent the distance between the two points on the number line. Then simplify without absolute value bars. (See Example 5) 6and2For Exercises 59- 64, write an absolute value expression to represent the distance between the two points on the number line. Then simplify without absolute value bars. (See Example 5) 3andFor Exercises 65-78, simplify the expressions. (See Example 6) a.42b.(4)2c.42d.4e.4f.4For Exercises 65-78, simplify the expressions. (See Example 6) a.92b.(9)2c.92d.9e.9f.9For Exercises 65-78, simplify the expressions. (See Example 6) a.83b.83c.83d.100e.100f.10068PEFor Exercises 65-78, simplify the expressions. (See Example 6) 2012(36322)For Exercises 65-78, simplify the expressions. (See Example 6) 20022(6124)For Exercises 65-78, simplify the expressions. (See Example 6) 612+3[(16)218]For Exercises 65-78, simplify the expressions. (See Example 6) 546[(28)231)]For Exercises 65-78, simplify the expressions. (See Example 6) 4257102For Exercises 65-78, simplify the expressions. (See Example 6) 6132122For Exercises 65-78, simplify the expressions. (See Example 6) 9(6+378)25For Exercises 65-78, simplify the expressions. (See Example 6) 82(4+255)977PEFor Exercises 65-78, simplify the expressions. (See Example 6) (49)2+22327+4+(12)4For Exercise 79-84, combine like terms. 14w33w3+w380PEFor Exercise 79-84, combine like terms. 3.9x3y2.2xy3+5.1x3y4.7xy3For Exercise 79-84, combine like terms. 0.004m4n0.005m3n20.001m4n+0.007m3n2For Exercise 79-84, combine like terms. 13c7d+12cd725c7d2cd7For Exercise 79-84, combine like terms. 110yz434y4z+yz4+32y4zFor Exercise 85-90, apply the distributive property (4x)86PEFor Exercise 85-90, apply the distributive property 8(3x2+2x1)88PE89PEFor Exercise 85-90, apply the distributive property 34(12p5q8p4q26p3q)91PE