The coefficient of x-y* in the expansion of (4x-y)° is 240. O True

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

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Q: 20. What is the value of the 4th term of the expansion of (y + 2z)°? 16y"z 448y 23 25628

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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: (x/3y+3y/x)^8 expand using binomial theorem

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Q: What is the coefficient of x°y“z in the expansion of (x+3y+z)T? O 2310 O 1663200 O 187110

A: To find the coefficient of x6y4z in the expansion of x+3y+z11.

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

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Q: 2x+ 3 2 X 6

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Q: Which of the following is not a term in the expansion of OA-2xyz OB. 3x²y z 2. OCA D. xyA 16

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Q: What is the coefficient of the x^7y^4 in the expansion of (x+y)^11

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Q: Evaluate fff. 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

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Q: Find the coefficient a of the given term in the expansion of the binomial. (4x-y)to the power of…

A: Explanation of the solution is given below....

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

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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 x²y² in the expansion of (–x+ 3y)*.

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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 at x in the expansion of (3 + x)75

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Q: Find the  coefficient of x^5 in the expansion of  (1−2x)^8.

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

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

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

A: We have given expression 3x2-y310 Then, fourth term of the expression…

Q: 00 8tan-in Zn=1 n3D1 1+n2

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Q: Compute 4n — бп? lim Vlan| for a,n %3D 3n2 +7 n-00

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Q: Let n be a positive integer. The coefficient of x°y° in the expansion of (1+ xy+ y²)' equals

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

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Q: (c) Find the term independent of x in the expansion of, 15 + 4x?

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Q: (xt - 4y)" 12

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

Q: 24 + * ? 8 What is the coefficient for the yl8 term in the expansion of (5x°y²

A: We use the Binomial Theorem to answer the given question.

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

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Q: 10 Find the cofficient of z in the expansion of (1 – 2x + 3z) (1 – z)".

A: The binomial theorem is…

Q: What is the coefficient of x'y5 in the expansion of (1x + 3y)18? 3,15

A: Use formula of binomial expansion to solve the question.

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

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

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Q: Determine the coefficient of the 6th term of the Maclaurin serie expansion of f (x) = e² 6! 6!

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

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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: 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: C (iii) Find the term in xy in the expansion of (x + 2y)(2y – 4x)(4 + 3y).

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Q: Use the Binomial Theorem to find the coefficient of the r"y" term in the expansion of (2r – y)12

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Q: Find the seventh term of the 10 expansion ( x+ y)º

A: We know that (x+y)n = ∑r=0nCrn xn-r yr Hence (x+y)10 = ∑r=010Cr10 x10-r yr

Q: lim, o0 (3 In (4 + z) – In (2x³ – 5)]

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

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