25. Which is the correct expansion of (x + 4y)³ using the binomial theorem? O ○ (x + 4y)³ = (3) (4v)³(x)° + (3) (4₂)³²(x)² + (2) (4₂)³¹(2)² + (3) (4₂)°(z)³ O (x+4y)³ = (4y)⁰ + (x)² (4y)¹ + (x)¹ (4y)² + (x)⁰ (4) ³ ○ O + (x + 4y)³ = (3) (w)³(4y)° + (1) (a)²(4y)¹ + (2) (x)²(4y)³² (3) (2) (4) ³ O (x+4y)³ = (x) (4y)⁰ + (x)¹ (4y)¹ + (x)² (4y)² + (x)³ (4y)³

Q: Which is the correct expansion of (x+4y)^3 using the binomial theorem?

A:

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

A:

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

A:

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

A:

Q: Write the binomial expansion for (x+3)°. ..... (x + 3)° =D

A: Solution...

Q: Use the binomial theorem to expand the following: (a) (x + 2y)* (c) (3x + 1)4 (b) (x - y)6 (d) (x +…

A:

Q: Use the Binomial Theorem to expand: (x- 2y)* a. x* - 8x*y + 24x²y² – 32xy + 16y* b. x* - 16y* c. x*…

A: Expandx−2y4

Q: 3. Determine the 4th term of (3x+ 2y3 6 using The Binomial Theorem.

A: We will find the 4th term

Q: W 3. Which is the correct expansion of (r + 3s)" using the binomial theorem expression? (r+39) =…

A: Binomial Expansion :            (x+y)n =(n0)xn y0 + (n1)xn-1 y1 + (n2) xn-2 y2 + ... +(nn-1) x1 yn-1…

Q: (a) Find the binomial expansion of (1+ x³)$/² up to and including the x term.

A: Given term is 1+x352

Q: (2x-3y) =

A:

Q: What is the least coefficient in the expansion of (x -1)7?

A: Use Pascal's Triangles to find least coefficient in the expansion of (x -1)7

Q: What is the coefficient of x^8 in the expansion of (3x-2)^13?(Use Binomial Theorem in solving this…

A:

Q: 3. What is the coefficient of 25y²z² in the expansion of (x + y +22)⁹?

A: This is an application of the multinomial theorem. We first recall the theorem and then proceed to…

Q: Find the coefficient of at in the product (1 + 2a)* (2 – a) using binomial

A: