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

Q: Use the Binomial Theorem to write the expansion of the expression. (r + 3s)3

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Q: What is the fourth term in the expansion of (3x - 2)102

A: GIVEN- 3x-210 TO FIND- FOURTH TERM IN THE EXPANSION OF 3x-210 METHOD / CONCEPT- IN EXPANSION OF a+bn…

Q: The coefficient of x12y 12 in the expansion of the expression (2x³ – 4y2) 10 is given by

A: Here, we have to find the coefficients of x12y12 in the expansion of 2x3-4y210 Consider the binomial…

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

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

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Q: What is the coeficient of 3 in the binomial expansion of 2x 233-2 ° -(5)-243-1 3x ?

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Q: In the expansion of (2x+5)4(2x+5)4, find the coefficient of x3x3. Select one: 16 600 not in the…

A: Consider the following binomial expansion:…

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

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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: Find the coefficient of x5in the expansion of (1 – 2x + 3x2)5

A: I have solved Algebraically

Q: Explain/show how to find the fifth term in the expansion of the binomial (2r + 3y) by using the…

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Q: Use the Binomial Theorem to expand and simplify: (x2 - 1)5.

A: According to binomial theorem (a+b)n  can be expanded as:

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

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Q: Expand the expression using the binomial theorem. (x - 3)6 (x- 3) =

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Q: .What is the coefficient of x7 is the expansion of (2x°+)29 ? [if the answer has a form like…

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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 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: 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)?

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Q: Use the Binomial Theorem to expand the expression (x2 + x-3)4 and write the result in simplified…

A: To Use the Binomial Theorem to expand the expression                                         (x2 +…

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

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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: Which member of binomial expansion of (2x^3 + x^-1)^10 contains x^6 ?

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Q: a. The fifth term in the expansion of (3x³ – 2)8. b. The constant term in the expansion of (3r² - ).…

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

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

A: The given expression is,

Q: Expand the expression using the binomial theorem. (x- 3)4 (x - 3)* =D

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Q: What is the Coefficient o x' y b. 24 in (3x +y)? Plow monomials appear in +he meny expansion of (3x+…

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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: 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…

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Q: 2) When a polynomial, ax-3x² - bx - 5 is divided by the binomial (x-3), the remainder is 10. When…

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Q: Expand the expression using the binomial theorem. (x - 3)4 (x - 3)* =D

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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: In a round-robin chess tournament, each player is paired with every other player once. The formula 2…

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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: 1. What is the coefficient of x7 is the expansion of (2x°+20 ? [if the answer has a form like…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems. ** Though it…

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 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 middle term in the expansion of (3x + x/3)10.

A: Given power is 10. So the number of terms= 10+1=11   This means the 11+12=6th term will be the…

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…