In Exercises 119–122, simplify each complex rational expression.123 +13x + 32119.1120.121.1613 +x + 3136.x?25 - x +V25 - x122.25 - x

Since you have asked multiple question, we will solve the first question for you. If you want any…

Answered: In Exercises 119–122, simplify each…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.4: Fractional Expressions

Problem 16E

See similar textbooks

Similar questions

Exercises 38–40 will help you prepare for the material covered in the first section of the next chapter. In Exercises 38-39, simplify each algebraic expression. 38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6) 39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9) 40. The figures show the graphs of two functions. y y 201 10- .... -20- flx) = x³ glx) = -0.3x + 4x + 2
In Exercises 101–103, perform the indicated operations. 1 1 1 101. x" – 1 x" + 1 x2" – 1 (1-X- -X ) (1 – (1 – 102. (1 - x + 1) x + 2 x + 3 103. (x – y)-1 + (x – y)-2
In Exercises 55–78, use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers. 55. 34.37 56. 3 167 57. 1004 58. 1 31 167 100 1 59. x 60. 2. „3 61. 62. 63. 64. 65. (số): 67. (y 69. (2,3)5 71. (25.,9 73. ( 66. 31 68. (у 4)б 70. (2)4 72. (125x", 74. (a, t 3 32. 34 75. 76. 34 3p 77. 78. 1/14
In Exercises 83–90, perform the indicated operation or operations. 83. (3x + 4y)? - (3x – 4y) 84. (5x + 2y) - (5x – 2y) 85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1) 86. (3x + 5)(2x - 9) - (7x – 2)(x – 1) 87. (2x + 5)(2r - 5)(4x? + 25) 88. (3x + 4)(3x – 4)(9x² + 16) (2x – 7)5 89. (2x – 7) (5x – 3)6 90. (5x – 3)4
For Exercises 8–10, a. Simplify the expression. Do not rationalize the denominator. b. Find the values of x for which the expression equals zero. c. Find the values of x for which the denominator is zero. 4x(4x – 5) – 2x² (4) 8. -6x(6x + 1) – (–3x²)(6) (6x + 1)2 9. (4x – 5)? - 10. V4 – x² - -() 2)
Rewriting an Expression In Exercises 51–54,rewrite the quadratic portion of the algebraic expressionas the sum or difference of two squares by completingthe square.
In Exercises 4-8, simplify each rational expression. If the rational expression cannot be simplified, so state. 5x – 35x 4. 15x2 x2 + 6x – 7 x? – 49 6x? + 7x + 2 6. 2x2 – 9x – 5 x? + 4 7. x - 4 x3 – 8 8. x - 4 .2 5.
In Exercises 20–23, determine whether each statement is true or false. V3 V3 20. - 5 5 21. (x|x is a negative integer greater than -4} = {-4, –3, –2, –1} 22. -17 ¢ {x|x is a rational number} 23. -128 + (2·4) > (-128 ÷ 2) · 4
Make Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I did to find the binomial product (x + 5)(x + 4). 136. I used a special-product formula and simplified as follows: (V2 + V5)? = 2 + 5 = 7. 137. In some cases when I multiply a square root expression and its conjugate, the simplified product contains a radical. 138. I use the fact that 1 is the multiplicative identity to both rationalize denominators and rewrite rational expressions with a common denominator.
In Exercises 115–116, express each polynomial in standard form-that is, in descending powers of x. a. Write a polynomial that represents the area of the large rectangle. b. Write a polynomial that represents the area of the small, unshaded rectangle. c. Write a polynomial that represents the area of the shaded blue region. 115. -x + 9- -x +5- x + 3 x + 15 -x + 4- x + 2 116. x + 3 x + 1
For Exercises 10–11, simplify the expression. 10. 15.2c?d – 11.1cd + 8.7c²d – 5.4cd 1 (6 – 4x) + 3 + 13x? 11. 8 - 4x2
In Exercises 158–161, simplify the expression. Assume that all variables used as exponents represent integers and that all other variables represent nonzero real numbers. 158. x"-1. n +4 159. (x4n. x")-3 -"-2 160. 6-n 3n+1 3 161.

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

SEE MORE TEXTBOOKS

In Exercises 119–122, simplify each complex rational expression. 12 3 + 1 3 x + 3 2 119. 1 120. 121. 16 1 3 + x + 3 1 3 6. x? 25 - x + V25 - x 122. 25 - x