If x is positive, the first negative term in the expansion of (1 + x)27/5 is (a) 5th term (b) 6th term (c) 7th term (d)

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

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

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Q: Use binomial theorem to expand (2+X)5 in ascending powers of x up to the terms containing x3  and…

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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: 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: In the expansion of (3x + 2y) °, the term 90, 72028 yl2 is the 4th term 5th term O 7th term O 6th…

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Q: 4. Find the 11th term in the expansion of 25 3r- + 5.x

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

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

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

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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: Find the term independent of x in the binomial expansion of x+. 12

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Q: 14 Which term of the expansion of (x + 1)contains x 16 Term number contains x16

A: The given expression is:…

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: What is the fourth term of the expansion Of (x + x100-

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

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

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

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

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Q: When the terms are arranged in descending powers of z, determine the middle 8 3 term in the…

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Q: 14) Calculate the 5th term in the expansion of (x – 2y)7.

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Q: find the first four terms in the binomial expansion of (1-x)-5

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Q: If in the expansion of (1 + n}+", the 5th term is 24 times the 3rd term, fnd the value of n.

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Q: 4. Find the 11th term in the expansion of 25 3x + 5xi

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

A: Solved below

Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

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

A: We get the last three terms of the expression using binomial expansion as

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

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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: 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: Given To evaluate

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: In the expansion of (4x -2/x)8 or (4x -2x^-1)8, find the following: a)the term containing x^6 b)the…

A: Given that - In the expansion of (4x-2/x)8 or (4x-2x^-1)8, find the following: a)the term containing…

Q: 4. What is the value of the 4th term of the expansion (a +b)°?

A: Given,           The value of the 4th term of the expansion a+b5.

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

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

Q: Find the 7th _term in the expansion of : 5 2x 4x

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