12 Find the power of x in that term of the expansion of 2+ 2 which has the greatest numerical cofficient. Also find the value of the coefficient.

Q: In the expansion of (2 + 4y?) a. How many terms are in the expansion after like terms have been…

A: We will find the answers of all parts using binomial expansion.

Q: i find the binomial expansion up to and including the x' term i state the range of values of x for…

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Q: EX1 FIND THE 4th TERM BINOMIAL EXPANSION (3x+2y) ³ IN THE OF 3

A: The given expression,      3x+2y5

Q: 11. Consider the expansion of 3x+ where p> 0. The coefficient of the term in x is equal to the…

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Q: 10 Use the Binomial Theorem to find the eighth term in the expansion of (x- 3) The eighth term is…

A: Binomial expression problem.....

Q: 30. One term in the expansion of (x+a) is 448x6. The value of a, if a >0, is

A: Please refer to the image below.

Q: Q4: Find the term independent of x in the expansion (1+

A: Binomial expansion is used.

Q: Using the Binomial Theorem :Expand:(x + 1)4.

A: The given expression is x+14   a+bn=∑i=0nnian-ibi

Q: Зх —1 A B (b) (i) Express (1– x)(2 - 3x) in the form - x 2-3x , where A and B are integers. Зх— 1…

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Q: (a) Given 2 < 1, expend (1+ z) by using Newton's Binomial Theorem. (b) Approximate 91/3 by using the…

A: Given The given expressions are (a) 1+z13,     z&lt;1 (b) 913 Apply Binomial expansion formula.…

Q: 12.The ratio of the coefficient of x' to the coefficient x n he expansion of (2+x)" is 12:7. The…

A: Use the binomial expension of a function and find the coefficient as asked in question than take the…

Q: 3. Consider the expansion of (x + 2)°. a. Write the full expansion using the binomial theorem. b.…

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Q: 18 Find the coefficient of x° in the expansion ofx -- The coefficient of x° is (Simplify your…

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Q: 16 2 Use the binomial formula to find the coefficient of the t s term in the expansion of (t-3s)8.

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Q: 2. Given that the coefficient of the term from the beginning and the term from the end of the…

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Q: How many terms will be in the expansion of (x – 8y)*" ? There will be 10 – 1 = 9 terms in the…

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Q: 7. In the expansion of px (5+px), the coefficient of the term in x° is 3402. Find the value of p. а.…

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Q: Answer the following: a) What is the general term of (x-y)xy? b) In the expansion of (1+x)^n the…

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Q: 3. a) Obtain the expansion for (3 + 2x)* in ascending powers of x b) Find the term independent of x:…

A: a)

Q: When (3- 2x) is expanded in ascending powers of x, the range of values of x for which the expansion…

A: Binomial expansion

Q: 10.The first three terms in the expansion of (1+x – 3x-)* are the same as the first three terms in…

A: Answer of Question #11 is not match with given option.please check it carefully...

Q: a) It is known that x2 x3 x4 x5 In(1 + x) = x – 2 4 5 Write down the generic form of the expansion…

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Q: ) Find the coefficient of xy in the expansion of (x + y²)°. ) Find the coefficient of x5y® in the…

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Q: 22. f (x) = e² + sin x

A: The given function is f(x)=ex+sinx .......................................... (1)

Q: b) List down the first four terms in the expansion of (1 2x) -2 in ascending power of x. Hence, by…

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Q: use the Binomial Theorem to find the indicated coefficient or term

A: We have to find the third term in the binomial expansion of: 3x-29 We know that the (r + 1) th term…

Q: Use the Product Rule to find a formula for (fg) ,,, and compare your result with the expansion of (a…

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Q: Q.No.2 State and prove Binomial theorem and also find 18th term in the expansion of (2x - 3y)3.

A: Given: To be prove binomial theorem and find the 18th term in the expansion of 2x2-3y25

Q: Give a formula for the coefficient of xk in the expansion of (10x + 20/x)100, where k is zero i.e.…

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Q: 1. Find the coefficient of 2³6 in the expansion of 6 (1 +5x²5 + 12x50⁰) (x+x² + x³ + x¹ + x³ +rº +…

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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: -1)º-k(x)' 18-6k 2512 k=0

A: to calculate the terms first we need to understand the calculation of 0! = 1 1! = 1

Q: Find the first three terms of the expansion, in ascending powers of x, of (1 – 2x)². Hence, find the…

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Q: Consider the expansion of ( 1/ax + x2)8 . The coefficient of x7 is 56/27. Find the value of A.

A: here we can use binomial expansion to solve this question.

Q: 12. When written in descending powers of z, the third term in the expansion of (2x +w)* is 156.8a.…

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Q: 2 Consider the expansion of

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

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

Q: Find the first three terms of the expansion, in ascending powers of x, of (1 – 2x)². Hence, find the…

A: Thanks for the question :)And your upvote will be really appreciable ;) First three term : -    1 ,…

Q: Find each term described.

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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: (i) Expand (x +y)³ by using Binomial Theorem (ii) Expand /1+y _up to three terms by using Binomial…

A: Given that: x+y3

Q: Consider the binomial theorem to expand (3x + 2y)^5. What is the coefficient of the x3y2 term? Thus…

A: we will use expansion of given expression for better understanding.

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: (a) Express (4-3x) in the form of a(1+bx) where a and be R. Hence, find the expansion of (4–3x) up…

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Q: f(x) = (4x7 + 7x – 9)(x³2 – 3)3º) %3D

A: This is a problem from Binomial and Taylor.

Q: 22 2 Use the binomial formula to find the coefficient of the z"x´ term in the expansion of (z- 3x)*.

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Q: Find the indicated term. 17. The fifth term in the expansion of (x – 3)7 18. The coefficient of x®…

A: to find  fifth term in the expansion of (x-3)7