i. Find the coefficient of x in the expansion of ( 2x –÷) . ii. Hence find the coefficient of x in the expansion of (1+3x²)(2x – -) .

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: For the binomial expansion of (2x-3)^6, what is the coefficient of x^4?

A: Given data- We have given the expression (2x-3)6. We have to find the coefficient of x4. We know the…

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

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Q: Consider the expansion of x² 10 3

A: Suppose we have binomial expression . Then its expression is as ;                       The general…

Q: In the expansion of (2x+5)4(2x+5)4, find the coefficient of x3x3. Select one: 16 600 not in the…

A: Consider the following binomial expansion:…

Q: a. Use your values of a, b and c to find the term independent of x in the expansion of 5 1 (2 + 9x)2…

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Q: a) Find the coefficient of x^4 in the expansion of (1 - x)^14 b) Find the coefficient of x^2 in the…

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Q: What is the coefficient of xy- (the third term) in the expansion of (2x + 3y)'? 6. O -18 O 18 O 54

A: We have to find the coefficient of xy2 in the expansion of 2x+3y3.

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

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Q: 1 nd the term involving x13 in the expansion of 4x? + c. 524812286 d 624812288 524812288 544812288

A: We are asked to  find the coefficient of x13

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

A: Binomial expansion is used.

Q: The coefficient of x2 in the expansion of [1- x/2]3  -   (a + x) 4 is 2a where a>0. Find a.

A: The coefficient of x2 in the expansion of [1- x/2]3  -   (a + x) 4 is 2a where a>0. Find a

Q: Find the coefficient at x in the expansion of (3 + x)75

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Q: For Exercise, find the indicated term of the binomial expansion. (3x + y2) 7; Term containing y6.

A: Using binomial formula we can write (3x+y^2)^7 as:

Q: Which of the following shows the coefficient of æ in the binomial expansion of (1 + 4x) ? There is…

A: The binomial expansion of the expression (x+y)n where n is a natural number is given by;…

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: 3. The fifth term in the expansion of (2x + k) is equal to the fourth term in the expansion of (2 +…

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Q: 3. Find, in descending powers of x, the binomial expansion of (2 – r2)5

A: 3. In this question, we need to determine the descending powers of x in the binomial expansion of…

Q: . Given P(x) =a( b – x) ( x+ c) ( dx+ 1) , where a, b,c and d are Re Z*. If the first term of the…

A: Given P(x)=a(b-x)(x+c)(dx+1) 1st term of expansion=-8x3 P(-3)=0

Q: In the expansion of (x + y)14 which term has the highest coefficient ? O a. x10y4 O b.x7y7 Oc x14 d.…

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Q: 101 99 200 . What is the coefficient of xy in the expansion of (2x - 3y)?

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Q: In the expansion of 5x in descending powers of x, find the constant term in the expansion and state…

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

A: Given that 10x+20x100 The objective is to find the formula for the coefficient of xk. By binomial…

Q: Q3. (a) Find the binomial expansion of (1 + 4x)2 up to and including the term in x².

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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: 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: 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: 3 O Find the first three terms of the expansion of (1+x)(2x-1)

A: The given series is 3(x+1)(2x-1) We have to find first three terms of the given series. This can be…

Q: Find the coefficient of the term involving z¹2 in the expansion of (22-½)¹¹. a. -231/8 b. -231/16 c.…

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Q: -1/2 p. Find the coefficient of x" in the expansion of (1– 4x)2.

A:

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

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

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Q: For Exercise, find the indicated term of the binomial expansion. (2c2− 5)9; Term containing d25

A:

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: (c) Find the term independent of x in the expansion of, 15 2 +

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Q: Consider the expansion of (2r – 1)°. Find the coefficient of the term in x а. -144 с. 121 b. 144 d.…

A: The given binomial expansion is 2x-19 Here, we have to find the coefficient of x2 in the expansion.…

Q: Find the coefficient of x' in the expansion of: (а) (1 — г) -4г3 (c) x (1+ x* (b) (1 — г)-2т8 (d)…

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Q: 2. the number of terms in the expansion of  ( (x+4y)^3(x-4)^3)^2 is? 3. The 5th term of from the…

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

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Q: Find the indicated coefficient or term. The coefficient of x in the expansion of (3x+2)^5

A: Binomial theorem expansion of is

Q: 10 Find the coefficient of x in the expansion of · (3x-1) "⁰.

A: Explanation of the answer is as follows

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: 1. What is the coefficient of x7 is the expansion of (2x°+20 ? [if the answer has a form like…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems. ** Though it…

Q: The coefficient of in the expansion of 1 (x+ + 1)7 is the sum of n multinomials. What is n? 3 1 4

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Q: Find the term in x' in the expansion of (x + 3) (2x + 1)'. а. 280x 310x d. 350x с. b. 290x3

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Q: The coefficient of x³y7 in the expansion of (7x – 4y)15 is (15)7847

A:

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