In the expansion of (2r + 1)", the coefficient of the term in x is 40n, where n e positive integers. Find the value of n.

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: 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: Give a combinatorial interpretation of the coefficientof x6 in the expansion (1 + x + x2 + x3 +⋯)3.…

A: According to the given information, it is required to give a combinatorial interpretation of the…

Q: What is the exponent on the x variable of the 3st/nd/rd/th term in the expansion of 17 (x2 +3y)" ?…

A: using formula:-

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Q: Find the term indicated in the expansion .

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

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

A: I have solved Algebraically

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A: Given,             (1-2x)⁸ = (1+(-2x))⁸

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

A:

Q: Give a combinatorial interpretation of the coefficientof x4 in the expansion (1 + x + x2 + x3 +⋯)3.…

A:

Q: Find the term containing x18 in the binomial expansion of (x³ – y)15,

A: Find the term containing x18 in the binomial expansion of x3-y15. Formula: Binomial expansion of…

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

A:

Q: Find the term indicated in the expansion (x + 2y)6; third term.

A: Find the term indicated in the expansion (x + 2y)6; third term.

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

A:

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

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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?

A:

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

A: Binomial theorem

Q: What is the coefficient of x^12.y^13 in expansion (x+y)^25 ?     clear ansswer plz

A:

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

A: The Binomial Theorem is the method of expanding an expression which has been raised to any finite…

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

A: The expansion of an general expression is given by (a+b)n=∑nkan-kbkk=0n  so any term can be found…

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

A:

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

A:

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

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

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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: Which term of the expansion of (x + 7)° contains x° Term number contains x°.

A:

Q: Find the coefficient of the term involving x* in the expansion of 3x – - -262444 c. -252440 а. b.…

A:

Q: What is the constant in the 6th term of the expansion of ((1/2)x – 3)^16?

A:

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

A: Given To evaluate

Q: Find the Term that includes x² of the expansion (x³ +

A:

Q: What is the largest coefficient in the expansion of (x +1)8?

A: Answer is mentioned below

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

A: The (r+1)th term of the expression (a+b)n is given by Crnan-rbr. Here C represents the combination.…

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

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: Find the 2nd term in the expansion of (a + b)6 in simplest form.

A: We can find the 2nd term as below

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: 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