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

Q: The first term in the Binomial expansion of (3x-y) is: None |(3x)y |(3x)6 |(3x)®y 1

A: general term of binomial exxpanson (a+b)n is Tr+1=nran-rbr

Q: What is the coefficient of x²wa³b in the expansion of (x+y+w+a+b)??

A: To determine the coefficient of x2wa3b in the expansion of x+y+w+a+b7.

Q: 2x+ 3 2 X 6

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Q: 1. Use the binomial theorem to expand (m³

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the coefficient of r* in the binomial expansion of 1 (1 – 3x?) Give your answer as an…

A: Binomial expansion of (1-x)-1'=1+x+x2+x3+x4+.......Then binomial expansion…

Q: Consider the expansion of x² 10 3

A: Suppose we have binomial expression . Then its expression is as ;                       The general…

Q: What is the coefficeint of a²b³cª in the expansion of (a + 2b + 3c)® ?

A: In the given question we have to find the coefficient of  a2b3c4 in expansion of a+2b+3c9

Q: Expand the expression using the Binomial Theorem: (4x – 1)° = x' + x² + x' +

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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: 6. Find the coefficient of x in the binomial expansion of 3. , if exists. 2.x?

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

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Q: 4. Find and completely simplify the 6th term in the binomial expansion of: (2x - "

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Q: 4. Find the coefficient of the term containing x' in the expansion of (x-2y)“.

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

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

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Q: expand

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

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

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Q: Find the coefficient of x5 in the binomial expansion of (1 – 2x + 3x2)5

A: Solution:

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: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

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Q: What is the coefficient of the term containing x^4 in the expansion (x - (2/x^2)^10?

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Q: Use Binomial Coefficients of x10y3 in the expansion of (x+2y)13.

A: Here the given expansion of (x+2y)13.  the general term of these series is

Q: Find the term that contains x^8 in the expansion of (3x-1)^11

A:

Q: What is the fifth term of the expansion of (x^2 + 1/x)^10?

A: What is the fifth term of the expansion of (x^2 + 1/x)^10?

Q: Use the Binomial Theorem to find the coefficient of x° in the expansion of (x- 1)º. .5

A: The term of x^5 is:

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

A: Given term is 1+x352

Q: Find the coefficient of x7 in the expansion of (x + 2)9

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Q: obtain the binomial expansion of (1-2x)^5 and use it to evaluate(0.98)^5 correct to 5d.p

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Q: Expand the expression using the Binomial Theorem. 4) (x5 + 2y)ª

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Q: Find the term containing x3 in the binomial expansion of (3x - 3)10.

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Q: 11. Find the fifteenth term in the expansion of (x2 - -) 18

A: Given that, x2-1x18 We have to find the fifteenth term in the expansion of x2-1x18, By using, The…

Q: 7. Expand (4x+3) using the binomial theorem.

A:

Q: 3. Find the expansion of (x + y)$ using Binomial Theorem.

A: The solution is given as

Q: Use the Binomial Theorem to find the coefficient of x' in the expansion of (3x + 1)12 The…

A: The equation is 3x+112

Q: 2. Use the Binomial Theorem to find the first three terms in the expansion of (x + 2y)20.

A: We need to find first 3 terms of given expression.

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

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Q: What is the coefficient of * in the binomial expansion of 1 ? (1 – 3x2) Give your answer as an…

A:

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

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Q: b) Expand by using Binomial Theorem (2x + 3)*.

A: Apply binomial theorem:  a+bn=∑i=0nnian-ibi

Q: The coefficient of x²y* in the expansion of (4x-y)° is 240. True False

A: As we know the formula for expansion (a+b)n=C0nanb0+C1nan-1b1+C2nan-2b2+.......+Cnna0bn   Here, a=4x…

Q: Expand the expression using the Binomial Theorem. 17) (4x + 3)5

A:

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 coefficient of z^4 in the expansion of(z^3+3z+1)^5?

A:

Q: Therefore, the 3rd term in the expansion of (x – 10z)’ is as follows. 7! 7C2x7 - 2(-10z)? 5! (-10z)?…

A: Therefore, the 3rd term in the expansion of  (x-10z)7 is as follows.   7C2x7-2(-10z)2=7!5!2…

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

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

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Q: ) Use the Binomial Theorem to find the middle term in the expansion of (2x2 - 3y)8

A: Formula: General term formula: of (a+b)n Tr+1 = nCr an-r br Middle term of a number when n is even…

Q: Find the expansion of (2x-3)6 using Binomial Theorem.

A: Here we use combination to find the coefficients in the expansion of given polynomial and use…

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

A: