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

Q: Find the term independent of x in the expansion of (2+ x²)°|1 2 3 1-). x2

A: Given- 2+x261-3x22 To Find- The term which is independent of x. Identity Used- For a general term of…

Q: 2x+ 3 2 X 6

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Q: Consider the expansion of x² 10 3

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

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

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

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 x9 in the expansion of (x+1)14 + x3(x+2)15 ?

A: We need to find the coefficient of x9 in the expansion of (x+1)14 + x3(x+2)15 .

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

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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: What is the coefficient of x4 in the expansion of (x + 1)14 + x3 (x + 2)15?

A: The binomial expansion is given by,

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

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Q: Use the Binomial Theorem to find the coefficient of x° in the expansion of (3x-1) The coefficient of…

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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 term independent of x in the binomial expansion of x+. 12

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Q: The term involving x^9 in the expansion of (x2 + 2/x)12 is

A: We are asked to fine the term that involving x^9

Q: What is the fourth term of the expansion Of (x + x100-

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Q: Find the term containing x in the Expansion of (x +3 y)*

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

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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: (xt - 4y)" 12

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

Q: What is the coefficient of x^4 in the expansion of (-1+ x)^11

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Q: What is the coefficient of x^8 in the expansion of (2+x)^11?

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

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Q: Use the Binomial Theorem to find the coefficient of x' in the expansion of (x+3)" ...-.

A: on using binomial theorem we get the coefficient of x^7 that is

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

A: The solution is given as

Q: 6. Find the coefficient of x* in the binomial expansion of| 3 , if exists. 4 2.x

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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: Find the first 4 terms in the expansion of (2 + x²)° in ascending powers of x.

A: Given expression: 2+x26  ……1   To find: First 4 terms (in increasing power of x) in the expansion of…

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: What is the coefficient of r* in the binomial expansion of 1 (1 – 32?) Give your answer as an…

A: Given function is 1/(1-3x2).

Q: in the expansion of (x^2-(1/2x))^5 ) what is the coefficient of x^4?

A: Given that  (x2-12x)5 Apply binomial theorem:a+bn=∑i=0nnian-ibiHere,a=x2,  b=-12x ∑i=055ix25-i-12xi

Q: What is the coefficient of x12y13 in the expansion of (2x+3y)25?

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

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Q: Use the Binomial Theorem to find the coefficient of x' in the expansion of (2x - 1)°.

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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: 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 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: 5. What is the coefficient of x''y" in the expansion (- 3x + 4y)ª . Show your work here:

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Q: How many terms will be in the expansion of (2x+3y)^6?

A: How many terms will be in the expansion of (2x+3y)^6?   Use the binomial expansion theorem to find…

Q: Find the term independent of x in the expansion of 3 1 - 2r

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

A: Consider  (2x+1)4

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

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Q: Find the middle term in the expansion of (x / 2-4) ^ 5 when x = 2

A: Given expression is:  x2-45 Now n = 5 is odd. Therefore here two middle term exist that is: n+12th…

Q: WHAT IS THE COEFFICIENT OF X^7 IN THE EXPANSION OF (X+2)^15 + X^4 (X+3)^19

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

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Q: Find the term of free x in the 10 2 expansion of (x² + 3)¹0.

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

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