In Exercises 35-44, factor the greatest common binomial factor from each polynomial. 35. 4(х + 3) + a(x + 3) 36. 5(x + 4) + a(x + 4) 37. x(у — 6) — 7(у — 6) 38. x(у — 9) — 5(у — 9) 39. 3x(x + y) - (x + y) 40. 7x(х + у) — (х + у) 41. 4x(3x – 1) + 3x – 1 42. 6x?(5x – 1) + 5x – 1 43. (x + 2)(x + 3) + (x – 1)(x + 3) 44. (x + 4)(x + 5) + (x – 1)(x + 5)

Q: Q:Factorize X^21-1 over IF2

A:

Q: 1. Factor 8 out of 8. -X- 8 8.

A: Given,            18x - 58

Q: Find mZV (9х - 19)° 111° (7x +3)° (5x + 8)° 128°

A:

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating…

A: We will find the 8th term.

Q: 12 Find the term of (a – 3b)" that has b in it.

A:

Q: In the expansion of (2x+5)4(2x+5)4, find the coefficient of x3x3. Select one: 16 600 not in the…

A: Consider the following binomial expansion:…

Q: 6. A. Show that 81 – x²dx : 81n %3| 4

A: According to company rule we can answer only first question and rest can be reposted

Q: 8 +6+4+...+(-238) = 123 Σ (-3x + 12) = Π k = 1 =

A:

Q: Determine the coefficient of a6b2 in the expansion of (a + b)8 by using the Binomial Theorem. That…

A: To find the coefficient of a6b2 using binomial expansion

Q: 2. Expand by multiplying 'o) a) (3x+ 4)(2x - 2) b) (2x - 7)(-4x + 5) c) -4y(-4x -5y)

A: Given  a) (3x+4)(2x-2) Multiplying,  (3x+4)(2x-2) = (3x)(2x-2)+4(2x-2)…

Q: What is the coefficient of x4 in the expansion of (x + 1)14 + x3 (x + 2)15?

A: The binomial expansion is given by,

Q: 6. (x²65)² a²b5 a²b³ 7. 8. 9. 24a³b6 -2a²b² 5,8 (-p₁²) ² 2)

A:

Q: Use the Binomial Theorem to expand and simplify (y2 -2)3 (y2+2)3.

A: Given expression is y2−23y2+23 We have to expand the expression y2−23y2+23 by using Binomial…

Q: The article “An Ivestigation into the Ball Burnishing of Aluminium Alloy 6061-T6" (M. El-Axir, J…

A:

Q: expand

A:

Q: Find the coefficient of x8y6 in the expansion of (2x2-5y3)6 by using the Binomial theorem.

A:

Q: Expand the expression using the binomial theorem. (x - 3)6 (x- 3) =

A:

Q: Find the coefficient of x4 in the expansion of (2-3x)6

A:

Q: 2. Use the Binomial Theorem to expand (3x - 2)6

A:

Q: 19. Determine the binomial power that when expanded is x12 x⁹ + x6 x15 + x3 1 + Show your work. 2 16…

A:

Q: 2х, + X2 9 (К). 2х, + 8х, 3x3 3x, 1 X2 1

A: The given problem is to solve the system of linear equations using gauss elimination method,  we…

Q: What is the coefficient of a b³c² in the expansion of

A: In this question, we need to find the coefficient of a4b3c2.

Q: What is the greatest common factor of 5x^75x75, x, start superscript, 7, end superscript,…

A: The given polynomials are: 5x7 ,   30x4 ,   10x3

Q: a) How can you find a linear combination (with integer coefficients) of two integers that equals…

A:

Q: In Exercises 45–68, factor by grouping. 45. x + 3x + 5x + 15 46. x + 2x + 4x + 8 47. x2 + 7x 4х — 28…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 3. Bring down the first coefficient on the bottom row. 3 -1 4 Bring down 2 -3 2

A: First we bring dawn the first coefficient 2 then solve it further . Follow 2nd step.

Q: Expand the expression using the Binomial Theorem. 4) (x5 + 2y)ª

A:

Q: 7. Expand (4x+3) using the binomial theorem.

A:

Q: 8. [8] What is the coefficient of y* in the expansion of (3y-2)'.

A:

Q: Find the coefficient of x6 in the expansion of (2x-3)9

A:

Q: What is the coefficient of x7 is the expansion of (2x³+29 ? [if the answer has a form like 29C,*bk,…

A: 1. The kth term of the expansion of 2x3+1x29 is given by29Ck2x329-k1xk For the degree of the…

Q: Find the term of (a – 2b)3 that has b in it. |

A:

Q: 2. What is the prime factorization of 15x y? O 3.5 2y O 3.5 x y Y O 15 - x * y Y 3-5 22 y y

A:

Q: 2. Find the interpolating polynomial using NDD of the points (0,0) , (1,16) , (2,48), (4,88) and…

A:

Q: 8. Use the binomial theorem to expand (3x - 4)4.

A: Expan using binomial theorem.

Q: in the expansion of (x^2-(1/2x))^5 ) what is the coefficient of x^4?

A: Given that  (x2-12x)5 Apply binomial theorem:a+bn=∑i=0nnian-ibiHere,a=x2,  b=-12x ∑i=055ix25-i-12xi

Q: 15- 2° + V16 – 10 + 5(2) = |

A:

Q: 15. Find mzN. (8x+17) (12x-39)

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

Q: The coefficient of x²y* in the expansion of (4x-y)° is 240. True False

A: As we know the formula for expansion (a+b)n=C0nanb0+C1nan-1b1+C2nan-2b2+.......+Cnna0bn   Here, a=4x…

Q: Expand the expression using the Binomial Theorem. 17) (4x + 3)5

A:

Q: Explain how to expand (a + b)7 using the binomial theorem expression, a"-kb. Be specific.

A:

Q: Determine if the term x^4 exists in the development of the binomial. 60 1 2x + 4x3 If it does not…

A:

Q: Expand the expression using the binomial theorem. (x + 3)6

A: We will find out the required expression.

Q: 2. Use Pascal's Triangle to expand the binomial (2x + 2)“. 16x* + 64x³ + 96x² – 64x – 16 O 16x4 +…

A:

Q: WHAT IS THE COEFFICIENT OF X^7 IN THE EXPANSION OF (X+2)^15 + X^4 (X+3)^19

A:

Q: expand using the binomial theorem. simplify (a+b)^2 (2x^2 -1/x^2)^4

A: solution

Q: Which expression represents the difference of (8x³ +6x² + 5) and (5x³ - x²-3x + 1)? 3x³ + 5x² + 3x…

A:

Q: What is the value of the coefficient in front of x?y? in the binomial expansion of (x+y)4?

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

Q: Expand the expression using the Binomial Theorem: (4æ – 3)³ = 3 + x* + +

A: