Use the Binomial Theorem to expand the binomial (3x – 5y)*. 81x* + 625y* b. 81x* – 540x'y + 1350x²y² – 1500xry³ + 81x* +540x³y + 1350x²y² + 1500xy³ + 625y* d. 81r* – 625y* а. - 625y* | с. 4 -

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: |(In 6x)2 dx ОА. x(In 6x)2 - x(In 6x) + x + C В. x(In 6x)2 + 2x(In 6x) - 2x + C с. x(In 6x)2 - 2х(In…

A:

Q: 1. Solve the recurrence relations (a) a, = an-1, a1 = 1; (b) an = 5an-1 - 6an-2, a1 = -1, az = 1;…

A: We have to solve given recurrence relations.

Q: (1 – #)* QI/ A/ Expand with binomial formula:

A:

Q: Use the binomial theorem to expand the binomial.

A:

Q: Q2. If (16*) (256) = 46, then find 40(9*+9-x) 9x-9-x

A: The given expression is 16x(256)=46 We have to find the 409x+9-x9x-9-x

Q: 10. Use the binomial theorem to evaluate (2r³ - y) 5.

A:

Q: 4.[4Y²-Y) (Y-2) 5.CxX+1)(x-2)

A:

Q: (a) (2x*y')(-x*y) (b) (2х- Зу)(3х - у) 4.(a)_ 4.(b)_ 4.(c)_ 4.(d) (e) (x-y)(x² + xy+ y°) OHER 4.(e)_

A: As we know from the exponent rule; 1). am·an=am+n 2). aman=am-n   (a). Given: 2x4y3-x5y

Q: Determine whether x^5 + 2x^2 + 1 is reducible over Z13

A:

Q: Expand in binomial theorem (2x-y)7

A:

Q: 4 Suppose we have 3000 identical sheets separated into packs of 25 sheets each. Use generating…

A: In the question, it has to be at least 150 sheets and no more than 1000 sheets. Otherwise question…

Q: (x+2)" (^+3)! Find 8 W

A:

Q: Binomial Theorem and Bayes Theorem 10 1. Find the binomial expansion of the expression 2. Which…

A:

Q: What is the coefficient of the term x^3y^2 expansion of (3x - y2)4?

A:

Q: Which member of binomial expansion of (2x^3 + x^-1)^10 contains x^6 ?

A:

Q: Use the binomial theorem to find the value of (3 + 21)4 where i is the imaginary unit. The Binomial…

A:

Q: expand each expression using the Binomial Theorem

A: Given: 19.(x-2)6

Q: 7) Use binomial theorem to expand (2x-1)^6

A:

Q: The first three terms in the expansion of (1 + ay)^n are 1, 12y, and 68y^2. Find a and n.

A:

Q: Use the binomial theorem to prove (2n choose k ) x  2^(2n-2k)= (2.5)^2n

A:

Q: 8!/0!

A: Solution

Q: (2x - 7x - 1) - (-2x + 3x- 4) Subtract 5x + 2x -1 from 4x +3

A:

Q: 3. Use the binomial theorem to prove that 2n 2n |22n–2k = (2.5)2". k k=0

A:

Q: (x +)". 10 Determine the coefficient of x-² in the full expansion of

A:

Q: 36. Use the binomial theorem to expand (2x - y)* . A. 16x* – 32x³y + 24x²y² – 8xy³ + y* С. 2x - 4х3у…

A:

Q: Find the coefficient of x²y in the expansion of (x - 3y)6.

A:

Q: Express (2ry+ 2x- 1)-i (x2 - y-2y) as polynomial in the binomial argument z = x+ iy. O iz? + 2z + 1…

A: