Expand the following using the Binomial Theorem or Pascal's Triangle: (x- 2)* a. x*-8x3 + 32x + 16 c. x*-8x3+24x² – 32x + 16 b. x*-4x3+24x² – 32x – 16 d. x-4x3 +24x² – 32x +1

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: 7. Use Pascal's Triangle to expand the binomial (2x + 2)¹. O 16x¹64x³ +96x² - 64x + 16 - 16x4 + 64x³…

A: To expand using the Pascal triangle.

Q: 1. Use the binomial theorem to expand (m³

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. (x + 3)5 (x + 3)° =D

A: consider the equation    x+35

Q: Expand the expression using the Binomial Theorem: (4x – 1)° = x' + x² + x' +

A:

Q: Expand the expression using the binomial theorem. (2p-3q)4

A:

Q: Use Pascal's Triangle to expand the binomial (2x - 2)*. O 16x4 16z4 64x3 96x? + 64x 16 O 16x 4 64a +…

A:

Q: Use the Binomial Theorem to show that 50 E)(-2)" = 1. %3D

A: Binomial Theorem:

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

A: Topic - binomial theorem

Q: Expand the expression using the Binomial Theorem. (5p + 1)4

A:

Q: Find the term containing x18 in the binomial expansion of (x³ – y)15,

A: Find the term containing x18 in the binomial expansion of x3-y15. Formula: Binomial expansion of…

Q: Write down the expansion of : 4 1 3x 2 by the binomial theorem.

A:

Q: Find the coefficient of x5 in the binomial expansion of (1 – 2x + 3x2)5

A: Solution:

Q: I. Expand the following binomial powers using Binomial Theorem 1. (3x -2y) 2. (2z -1)* 3. (a +b)

A: The solution are next step is

Q: Expand the expression using the Binomial Theorem (x-s)*

A:

Q: Expand the binomial by using Pascal's Triangle to determine the coefficients. (x - 2y)5

A:

Q: Expand the expression using the Binomial Theorem and Pascal's Triangle:   (2x + 1)^3  =   ________…

A:

Q: Expand the expression using the binomial theorem (x + 3)6 (x + 3)° = D

A: Given (x+3)6 We know that (a+b)n=C(n,0)an+C(n,1)an-1b1+....C(n,n)bnFrom the given expression:a=x,…

Q: Use the Binomial Theorem to expand and simplify (7x + 4)4 4 6 4 1 coefficients:

A:

Q: Use the Binomial Theorem to expand the binomial (c + 3)5 and express the result in simplified form.

A: c+35 Binomial theorem: For any positive integer n,…

Q: Use Pascal's Triangle to expand the binomial (x + 1)° O 25 + 5x4 + 10x + 10x2 + 5x + 1 O g5 - 5x1-…

A: Pascal's triangle…

Q: Use the Binomial theorem to find the coefficient of xayb in the expansion of (2x2−5y3)6 where a=8…

A: We have to find the coefficient of x8y6 in the expansion of (2x2-5y3)6 by using Binomial theorem.

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

A:

Q: Expand the expression using the binomial theorem. (x- 3)4 (x - 3)* =D

A:

Q: Expand the following using the Binomial Theorem or Pascal's Triangle: (4r – 2y)' 64x – 96x²y + 48xy²…

A: 4x-2y3 Binomial theorem is, For any positive integer n,…

Q: Use the binomial theorem to expand the following expression. (u - 5v)4 14 - 201y + 150z2,2 – 500uv3…

A: the row of Pascal's triangle that corresponds to n9 is as follows. 19 36 84 126 125 84 36 9 1. We…

Q: Expand the following binomial powers using Binomial Theorem 4. (u-2v) 5. (pq -4)°

A:

Q: Use the Binomial Theorem to expand and simplify the expression 2(x- 3)4 + 5(x - 3)² Select one: O a.…

A:

Q: 2. Use the Binomial Theorem to find the first three terms in the expansion of (x + 2y)20.

A: We need to find first 3 terms of given expression.

Q: In the Binomial Theorem expansion of (2x - 5)¹², identify the term containing the coefficient of x5…

A:

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

A: Expan using binomial theorem.

Q: The binomial expansion of (4 + 3y³)+

A: Formula for expanding a term using binomial expansion is given by - (a + b)n = nC0an + nC1an-1b +…

Q: Use the binomial theorem to compute the following. (2x + 1)³

A:

Q: Use the binomial theorem to list to expand the following expression: (3x-9)^4

A:

Q: Expand the expression using the binomial theorem. (x - 3)4 (x - 3)* =D

A:

Q: b) Expand by using Binomial Theorem (2x + 3)*.

A: Apply binomial theorem:  a+bn=∑i=0nnian-ibi

Q: Expand the expression using the binomial theorem. (x - 3)5

A:

Q: Use the Binomial Theorem to expand (x + y) 5 and (x + 2)3.

A: Using the Binomial Theorem, x+yn=xn+nC1xn-1y+nC2xn-2y2+.......+nCn-1xyn-1+nCnxn-nyn And nCr=n!r!n-r!

Q: Use Pascal's Triangle to expand the binomial (x +1)°. O x5 + 5x1 + 10x³ + 10? + 5x +1 5 - 5a4 10x³ -…

A:

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

A:

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

A: solution

Q: ) Use the Binomial Theorem to find the middle term in the expansion of (2x2 - 3y)8

A: Formula: General term formula: of (a+b)n Tr+1 = nCr an-r br Middle term of a number when n is even…

Q: a) Expand the binomial (2x – 1)° using the binomial theorem.

A:

Q: Expand the expression using the binomial theorem. (x – 3)* (x - 3)* =D %3D

A: Topic - binomial expansion

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

A:

Q: Expand the given expression using the binomial theorem: (5x-1)3

A: Consider the given expression.