In the expansion of 5x in descending powers of x, find the constant term in the expansion and state which term in the expansion is the constant term.

Q: 2x+ 3 2 X 6

A:

Q: (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x?.

A:

Q: Find the specified nth term in the expansion of the binomial. (x + 2z)7, n = 4

A:

Q: What is the 5th term in the expansion of (x^3-1/x^2)^10?

A:

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: 4. Find the 11th term in the expansion of 25 3r- + 5.x

A:

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

A:

Q: Find the coefficient of x4 in the expansion of 1 +

A:

Q: The constant term in the expansion of the expression 4x is given by 15

A:

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

A: Binomial expansion is used.

Q: Find the coefficient at x in the expansion of (3 + x)75

A:

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 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: If x is positive, the first negative term in the expansion of (1 + x)27/5 is (a) 5th term (b) 6th…

A: Introduction :

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

A:

Q: What is the 5th term in the expansion of (x^3-1/x^2)^20?

A: To find the 5th term in the expansion of x3-1x220.

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

A:

Q: Find the term in the expansion of (x2 + y2)5 containing x4 as a factor.

A: The given expression is x2+y25 To find the term containing x4 as the factor

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

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: Find the coefficient of the term containing x' in the expansion of (2x-y)°.

A: Binomial theorem

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

A: Given term is 1+x352

Q: In the expansion of ( 2x + 3 )°, find the sum of the coefficients of all the terms.

A: Consider the provided binomial expression. 2x+38 The expansion of the given binomial expansion is…

Q: Find the specified nth term in the expansion of the binomial. (x - 8y)5, n = 3

A: Given (x - 8y)⁵, n= 3 We have to find the specified nth term in the expansion of the binomial.

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: Find the specified nth term in the expansion of the binomial.   (x-7y)5, n=3

A: To find the nth term in the expansion ofthe bonomial x-7y5 , n=3

Q: 4) Find the Term that free from x of the expansion (x2 +10

A: Use binomial expansion:-

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

A:

Q: Obtain the expansion for (3 + 2x)* in ascending powers of x

A: According to binomial expansion,  a+bxn=an+n1an-1bx+n2an-2b2x2+n3an-3b3x3+....+nn-1abn-1xn-1+bnxn…

Q: 4. Find the 11th term in the expansion of 25 3x + 5xi

A:

Q: Find the fifth term in the expansion of (x2 + y2)10

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 2nd term in the expansion of (a + b)º in simplest form.

A: Solved below

Q: Find the 3rd term in the expansion of (x- 1)^5 in simplest form.

A: Given that we need to find the third term in the expansion of ( x - 1)5.

Q: Find the 3rd term in the expansion of (5x 2)4 in simplest form.

A:

Q: Find the Term that includes x? of the expansion (x³ +°

A:

Q: Find the indicated coefficient or term. The coefficient of x in the expansion of (3x+2)^5

A: Binomial theorem expansion of is

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 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: Find the first three terms of the expansion, in ascending powers of x, of (1 – 2x)². Hence, find the…

A: Thanks for the question :)And your upvote will be really appreciable ;) First three term : -    1 ,…

Q: Find the specified nth term in the expansion of the binomial. (x + 2z)7,    n = 6

A: Given:

Q: Use the binomial theorem to identify the coefficient of x° in the expansion: (2x + 1)4

A: Consider  (2x+1)4

Q: Find the 2nd term in the expansion of (a + b)° in simplest form.

A:

Q: Determine the coefficient of the 5th term in the expansion of (n – 2m)'.

A: n-2m7Apply binomial theorem:  a+bn=∑i=0nnian-ibia=n,…

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

A:

Q: Show all your steps. Find the coefficient of the term in the expansion of (3x – 4y)°.

A: The given expression is 3x-4y8. We have to find the co-efficient of x6y2. The binomial expansion is…

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

A: To get the term that contains y9, use the binomial expansion and obtain the second term.…