5. Use Pascal's Triangle to expand the binomial (x + 1)". - 5x- 10x - 10a? + 5x – 1 | x5 - 5x4 + 10x³ - 10x2 +5x – 1 O 25 - 5x4 - 10x - 10x2 - 5x – 1 O x5 + 5x* + 10x³ + 10x²2 + 5x + 1

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: 6[5+2(9-4)]

A: Consider the given expression.

Q: 17. Expand using Pascal's Triangle or the Binomial Theorem. Be sure to show the setup. Then,…

A:

Q: Please show all work and please only use Pascal's Triangle and Binomial Theorem for this problems…

A: Explanation of the answer is as follows

Q: Question 17 What is the expanded form of (3x +4)*? 8 Lx+256 B. 81x + 432x + 864x+768x + 256 .2 C.…

A: Option B is correct.

Q: 3. (a) Use the Binomial Theorem to expand and simplify (3a²-4b)6

A:

Q: Find each (n+3)(n+2) (4n 5)(3n + 2) (n+7)(n + 5)

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: Expand 3x + 2y)7 using the binomial theorem. Simplify your final result.

A:

Q: Write the binomial expansion for (x+ 2y)*. (x + 2y)* =D

A:

Q: 6) Use Binomial expression in the form (a + b)¹: (x-2)5 + 10(x - 2)4 + 40(x - 2)³ + 80(x - 2)² +…

A:

Q: Find each product. 1) (2p+ 1X6p+3) 2) (2-4)(4r + 3) 3) (7m+5X7m+8) 4) (4n +3(7n – 3) 5) (5x-8Xr-1)…

A:

Q: 1. Use the binomial theorem to expand (a) (1+x)* and (b) (1+x). 2. Use the binomial theorem to…

A:

Q: Expand the following using the Binomial Theorem or Pascal's Triangle: (x- 2)* a. x*-8x3 + 32x + 16…

A: Binomial expansion formula (a+b)n=C0nan+C1nan-1b+C2nan-2b2.......................Cnnbn

Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

Q: Perform the operations indicated. "G:)-(;3) (a) (2 5 -3) 4 -2 5) 3 2) (b) /-6 -2 -3 3 (2 5 -3 7) (c)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Which of the following is NOT correct ? 3x (6+9)=3x6+3x9 is distributive 3x (6+9)= (6+9) x 3 is…

A:

Q: The product of three binomiols is 2x3 + 7x2-7x-12. If one binomial is x+ 1, what are the other o…

A: Polynomial and it's factors

Q: Write out the full expansion of (x + y)^7 using either binomial coefficients or Pascal’s Triangle to…

A:

Q: 1. Which of the following are in grouped form? (You can pick more than one) * x+4 (x+2)(x-7)…

A: See attached file for a step by step explanation.

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: 1. Suppose when using the Binomial Theorem an expansion turned out to be the expression as shown…

A: Formula for Binomial theorem: a+bn=an+nan-1b+nn-12!an-2b2+nn-1n-23!an-3b3+.....+bn Given expression:…

Q: Prove (n + 6)² – (n + 2)² is always a multiple of 8. (Use direct proof.)

A: