Find the 5th term in the expansion of x3 7 2y2) x2

Q: If n be positive integer, show that the algebraic sum of the numerical coefficients in the expansion…

A: As given above that n be a positive integer. And the given expression is: 3x-2yn We have to prove…

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: /Find the sixth term in the expansion (x- 2y)"

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Q: 20 Term independent of x in expansion of x2 5 + 6x3 is? e 7

A: Here we have to find the term independent of x.

Q: 16. The expansion of (2 + 3x;-1 is valid when >x>

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Q: Find the constant term in the expansion (2y + 1) O 4032 4232 O 4323 4023

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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: 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 last term in the expansion (2xy z+3x²y)4?

A: Consider the provided expression, 2xy2z3+3x2y4 Write the last term of the expression. Apply the…

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: a) Determine the fourth term in the following expansion (x + 3y)° 5r)5

A: The posted question has multiple questions. But according to guidelines we will solve the first…

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

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Q: Find the term indicated in the expansion .

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

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

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

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

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: 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 sixth term in the expansion (x-2y)"

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

A: Binomial theorem

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

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

A: Given term is 1+x352

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

A: Use binomial expansion:-

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: 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: find the fourth term in the expansion of  (x +  1   9…

A: Recall the fact that the general term of expansion ( a + b )n is as follows.

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

A: Solved below

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 (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.

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

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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: Write down the first five terms of the expansion of (1 + 3x)²/½/2 for /x/ < =//=

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Q: What is the coefficient of z^4 in the expansion of(z^3+3z+1)^5?

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

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

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

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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: 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.…

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

A: Answer