Find term number 5 in the expansion of: (2x + 3)°. (Note, term number 1 is (2x),) the coefficient for term number 5 is the variable part for term number 5 is

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

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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: In the expansion of 5x + the value of the constant term is

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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: Find the first three terms of the expansion (4 – 2x)³.

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Q: 2x+ 3 2 X 6

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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 degree of each term in the expansion of (x+5y)^21 ?

A: The dree of the term is the sum of the powers of the variable.  Note that the binomial expansion of…

Q: Find the term indicated in the expansion (x2 + y)22; the term containing y14.

A: To find: The term containing y14. Given: The expansion is x2+y22. Concept used: If the expansion is…

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

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

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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: In the expansion of (2x+1)n , the coefficient of the x2 term is 40n , where n is a positive integer.…

A: Given (2x+1)^n The solution is given below in the next step

Q: Find the first three terms in the expansion (x^2-2)^5

A: The given expansion is x2-25

Q: Find the first three terms in the expansion. 1) (x+3y) 2) (x-2)

A: From the Binomial expansion, (a+b)n=C0nan+C1nan-1b+C2nan-2b2+⋯Cnnbn (1) If the expression is:…

Q: i. Find the coefficient of x in the expansion of ( 2x –÷) . ii. Hence find the coefficient of x in…

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

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Q: Find the term indicated in the expansion: (x + 2y)10; the term containing y6

A: we have to find the term indicated in the expansion: (x + 2y)10; the term containing y6

Q: Find the first three terms in the expansion of (b^-2/3 + b1/3 )^20

A: We have to write first three terms of b-23+b1320. From binomial theorem, we have…

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 4th term from the end in the expansion (2a + 5b)8.

A: Let's find 4th term from the end.

Q: Find the 7th and 11th term of the expansion (y − x)^14

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Q: Find the first three terms from the expansion 1. (x+3y)^9 2. (x^2-5)^5

A: use the binomial theorem

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

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Q: (xt - 4y)" 12

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

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

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Q: Find the term indicated in the expansion (x + 2y)10; the term containing y6.

A: The given expression is x+2y10 To find term containing y6

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

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Q: Find an expression, in terms of n for the coefficient of x in the expansion (1+4x) + (1+4x)² +…

A: ANSWER :

Q: Find the sixth term in the expansion: (3x – 2y)".

A: Consider the given binomial expansion.

Q: Find the fifth term in the expansion of (x2 + y2)10

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

A: The Binomial Theorem is, (a+b)n=∑k=0nnkan-kbk Where, nk=n!k!(n-k)! The given question is to find the…

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: 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: Suppose you are expanding (5x - 2y)º. a) i) How many terms are there in the expansion? ii) State the…

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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: Find the coefficient of xy° in the expansion of (x + y)³ 8

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Q: Find the 2nd term in the expansion of (3x + y) in simplest form.

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

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Q: Find the expansion (2+3z+z^2)^5 and write the coefficient of z

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Q: Find term number 3 in the expansion of: (3x + 2)* . the coefficient for term number 3 =| 216 the…

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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: Find the coefficient of x°y° in the expansion of (2x – y)³. -

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Q: Suppose you are expanding (5x - 2y) a)i) How many terms are there in the expansion? )State the…

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