14. What are the coefficients of xy20 and x¹7y9 in the expansion of (5x - y)25?

Q: What are the first and last terms in the expansion of (5x + 4y)*?

A:

Q: Determine the term involving y5 in the expansion of (3y +).

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the coefficient of a-2 in the binomial expansion of  (27a2 - (1/81a3))9

A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

Q: How many strings of 1our decimal digits have all four digits that are different? How many strings of…

A:

Q: What is the coefficient of xy- (the third term) in the expansion of (2x + 3y)'? 6. O -18 O 18 O 54

A: We have to find the coefficient of xy2 in the expansion of 2x+3y3.

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

A:

Q: The coefficient of x²y4z5 in the expansion of (3x+y+z)¹¹ is

A: The given expression is: (3x + y + z)11 To find: The coefficient of x2y4z5 in the expansion of (3x +…

Q: 4. Find the expansion of (x + y)6 using Binomial Theorem.

A:

Q: for

A:

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

A:

Q: In the expansion of (x + y)16 which term has the same coefficient as x14y2? O a. x12,4 Oc x3y14 O d.…

A:

Q: Write the fourth term of the expansion of (2x+ 3y)°.

A: We can get desired result by two ways. One is by opening binomial expansion then getting fourth…

Q: (c) Find the term independent of x in the expansion of, 15 + 4x?

A:

Q: 10 [1] Find the coefficient of the term involving x* in the expansion of (3x - a. -262444 b. -262440…

A: We have to find the coefficient of x^4.

Q: 24 + * ? 8 What is the coefficient for the yl8 term in the expansion of (5x°y²

A: We use the Binomial Theorem to answer the given question.

Q: The 4th term in the expansion of (2x -3x 10 is 10 C4 (2a) (-3x)³ O 10 C4 (2a2) (-32)4 10 C (2)…

A:

Q: Find the sum of the coefficients in the expansion of (2x² + X a. 15,625 b. 10,765 C. 20,485 d.…

A:

Q: Compute the coefficent of x8    in the expansion of (3x -2)13

A: The given expression is,

Q: 3 O Find the first three terms of the expansion of (1+x)(2x-1)

A: The given series is 3(x+1)(2x-1) We have to find first three terms of the given series. This can be…

Q: 16. Find the term containing x18 in the binomial expansion of (x2- y)15.

A: A binomial expression is an expression of the form a+bn. This binomial expression can be expanded…

Q: (x³ + })*

A:

Q: What is the coefficient of x4y2z6 in the expansion of (3x² + 2y + 3z3)6?

A: Apply binomial theorem and isolate the coefficient

Q: 1. The coefficient of x³y³ in the expansion of (2x + 2y)¹⁰ is 10 2. The constant term in the…

A:

Q: 17. The coefficient of x³y in the expansion of (2x + 96 O 72 none of these -3y)4 is O 104

A:

Q: (2x-3y) =

A:

Q: Use the Binomial Theorem to find the coefficient of the r"y" term in the expansion of (2r – y)12

A: