Q2: Find the first four terms in the expansion of (1 - x)-

Q: The coefficient of x-y* in the expansion of (4x-y)° is 240. O True

A: Given: the coefficient of x2y4 in the expansion is 240

Q: What is the degree of each term in the expansion of (x+5y)^21 ?

A: The dree of the term is the sum of the powers of the variable.  Note that the binomial expansion of…

Q: Find the coefficient a of the given term in the expansion of the binomial. (4x-y)to the power of…

A: Explanation of the solution is given below....

Q: Find the term indicated in the expansion (x2 + y)22; the term containing y14.

A: To find: The term containing y14. Given: The expansion is x2+y22. Concept used: If the expansion is…

Q: What is the coefficient of aº in the expansion of (x + 2)15 + x*(x +3)20?

A:

Q: Find the coefficient of x^2 in the expansion of (x+y)^12

A: This is a binomial expansion problem. Here we can use general concept of expanding a binomial…

Q: Find the binomial expansion of f(x) = in ascending powers of x, up to and (243x)3 including the term…

A:

Q: Q4: Find the term independent of x in the expansion (1+

A: Binomial expansion is used.

Q: Find the  coefficient of x^5 in the expansion of  (1−2x)^8.

A: Given,             (1-2x)⁸ = (1+(-2x))⁸

Q: Find the Term that free from x of the expansion (x2 +10

A: Given expansion(x2+(2/x3))10 a=x2 and b=2/x3, n=10 Formula  General term formula is, Tr+1= nCr…

Q: Find the coefficient of x²y in the expansion of (-4x + y)°. Give your answer as an integer.

A:

Q: Find the specified nth term in the expansion of the binomial. (x – 10z)7, n = 4

A: Known fact: The (r+1)th term in the binomial expansion of x+yn is given by Tr+1=nCr xn-r yr.

Q: Find the independent term of x in the expansion of [x|3 3 3 2x² + 10

A:

Q: Find the term independent of x in the binomial expansion of x+. 12

A:

Q: Find the coefficient of x4 in the expansion of (2-3x)6

A:

Q: Find the 3rd term in the expansion of (x-3)^7

A:

Q: le Find a if the 17th and 18th terms of the expansion (2 + a)" are equal.

A:

Q: Find the middle term in the expansion of (2/x + x/2)^14

A: The middle term in the binmial  expansion of (x+a)^n is (( n/2)+1)th term, if n is even . If nis…

Q: 101 99 200 . What is the coefficient of xy in the expansion of (2x - 3y)?

A:

Q: Find the 7th and 11th term of the expansion (y − x)^14

A:

Q: In the expansion of 5x in descending powers of x, find the constant term in the expansion and state…

A:

Q: Give a formula for the coefficient of xk in the expansion of (10x + 20/x)100, where k is zero i.e.…

A: Given that 10x+20x100 The objective is to find the formula for the coefficient of xk. By binomial…

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

A:

Q: (xt - 4y)" 12

A: Let's find middle term of given function.

Q: Find the tenth term in the expansion (x+3) 2? Select one:

A:

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

A: Given term is 1+x352

Q: b) List down the first four terms in the expansion of (1 2x) -2 in ascending power of x. Hence, by…

A:

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: (x³ + })*

A:

Q: Find the sixth term in the expansion: (3x – 2y)".

A: Consider the given binomial expansion.

Q: find the first four terms in the binomial expansion of (1-x)-5

A:

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The Binomial Theorem is, (a+b)n=∑k=0nnkan-kbk Where, nk=n!k!(n-k)! The given question is to find the…

Q: Find the middle term in the binomial expansion of(x-3)".

A:

Q: (c) Find the term independent of x in the expansion of, 15 2 +

A:

Q: 12 Find the middle term in the expansion of a - bx

A:

Q: Use the binomial expansion formula to expand (x + 1 )9 .

A: x+19 Binomial theorem is, a+bn=C0nan+C1nan-1b+C2nan-2b2+C3nan-3b3+----+Cnnbn

Q: Find the 6" term in the expansion of (x + 3y )"

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 10 Find the coefficient of x in the expansion of · (3x-1) "⁰.

A: Explanation of the answer is as follows

Q: What is the coefficient of x° in the expansion of (x + 1)14 + x³(x + 2)15?

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: What is the constant in the 6th term of the expansion of ((1/2)x – 3)^16?

A:

Q: Find the coefficient of x^0 in the expansion ((x^2)+1/x)

A: topic - binomial expansion

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: Use the Binomial theorem to find the constant term in the expansion (x -

A: To use the Binomial theorem to find the constant term in the expansion of x−1x8.

Q: What is the coefficient of x° in the expansion of (x + 1)14 + x² (x – 1)13?

A:

Q: What is the largest coefficient in the expansion of (x +1)8?

A: Answer is mentioned below

Q: Suppose you are expanding (5x - 2y) a)i) How many terms are there in the expansion? )State the…

A:

Q: Find the seventh term of the 10 expansion ( x+ y)º

A: We know that (x+y)n = ∑r=0nCrn xn-r yr Hence (x+y)10 = ∑r=010Cr10 x10-r yr

Q: Find the coefficient of x2 in the expansion of (x – 1)37. -

A: Answer

Q: n what the coefficient of in the 13 expansion (x- 3y) of

A: