Course Name: Calculus and Analytical Geometry-1 Course code: MAT-132 Solution must be handwritten with step by step clear explanation Binomial Expansion: Using this formula: n! (a+b)" a"-(k-1) (k-1) [n-(k-1)]! [k-1]! Question 6. Find the 9th term of (a + b)5

Q: Multiply the following binomials using the method indicated. (Simplify your answers completely.) (y…

A: Topic -multiplication of binomials  hy different methods

Q: 4. Use the binomial theorem to expand the following expressions. a. (x + 2y)* b. (2x – 1)5

A: We can solve this using binomial theorem

Q: 5. For the three-part question that follows, provide your answer to each question in the given…

A: Part A: To explain the four letters in "FOIL". Part B: To simplify the following expression by…

Q: Multiply the following binomials. (c- 3)(c + 4) (c- 3)(c+ 4) = (Simplify your answer.)

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Q: 1. (2Y²-6) (2Y+9)

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Q: Expand the expression using the Binomial Theorem: x5+ 405 x+ 270 (3x - 1)5 = 243 15 x+ 1 x³+90 x² +

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Q: Which binomials are correct for the roots 7 and -2? F oudy O (x-7)(x-2) O (x + 7)(x-2) O (x+7)(x+2)…

A: The given roots are 7 and -2.

Q: B. Directions: Expand t Scoring Rubric: 3- The final ansv 2- The final ansv 1- The final ansv 0- No…

A: = (12q+4r)12  Binomial Expression:(a+b)n =∑n=0nni a(n-i) bi(12q+4r)12:  a=12q,…

Q: EXAMPLE 3 Applying Special Case Products a. Multiply. (2 - 9)(2 + 9) h. Square the binomial. 3x - 7

A: a. The given expression is, 2t2-92t2+9 Using the algebraic identity, a-ba+b=a2-b2 Here,  a=2t2b=9…

Q: Expand with binomial formula (a-x)5

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Q: EXAMPLE 2 Multiplying Binomials Using FOIL (2x + 1)(3x - 5) = 6x? – 10x + 3x – 5 Distributive…

A: There is also a special method, useful only for a…

Q: Explain/show how to find the fifth term in the expansion of the binomial (2r + 3y) by using the…

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Q: State the Special Product Formulas used for expanding the given expression. (i) (a + b)? (iv) (a –…

A: Calculation: Special product formula: (i) a+b2=a2+b2+2ab (ii) a-b2=a2+b2-2ab (iii) a+b3=a3+b3+3aba+b…

Q: A. Expand the following by using the binomial formula. Simplify your answer. (xi-) (apply the laws…

A: We know the binomial formula,  (A+B)n = nC0×An+nC1×An×B+...+nCn-1×A×Bn-1+nCn×Bn    Here we have,  A…

Q: 4 a) (x² + b) (- x*)*

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Q: Write the binomial expansion for the following expression. 4 (6p + 5q)* (6p +5q)* =

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Q: Expand the following binomials and simplify. a. (2x+ y)" b. (r? +3)* c. Gx+ 3y)*

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Q: f Use the FOIL method to multiply the binomials. (3x+4)(4x+5) (3x+4)(4x+5)-(Simplify your answer)

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Q: Malik currently has 39 tulips in his yard. Each year he plants 3 more. (a) Which of the following is…

A: given data  malik havs 39 tulips in his yard each year he plants 3 more  so,  p0= 39 d = 3

Q: Write the expansion of the expression.     #1) (x + 2)^4   # 2 ) (y -2) ^4    #3 )  (2X - Y)^5…

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Q: Pam is a Disc Jockey. Every week she buys 3 new albums to keep her collection current. She currently…

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Q: Please find the binomial coefficient for the below: (10¦4) (12¦3

A: The objective is to find the binomial coefficient for the following: (10¦4) (12¦3)

Q: >(6k – 4)(7k + 3) - k=1 Enter your answer as a number without any arithmetic symbols. Sum =

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Q: • 3. 3 (x- 2)+ 4 ( x – 2 ) – 5 ( x – 2)

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Q: Find an expression, in terms of n for the coefficient of x in the expansion (1+4x) + (1+4x)² +…

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Q: 3[2+4(5+2*3)]

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Q: What is the coefficient of p5q5 in the expansion of (p+q)10?

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