Find the value of the constant term in the binomial expansion (5x –) . 3 12 (A) (2) 56 36 (B) O 5° 34 (C) -() 5° 34 (D) - 5834

Q: The coefficients of three consecutive terms in the expansion of (1 + ay" are in the ratiol: 7:42.…

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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: Use the binomial formula to find the coefficient of the y^3 m^17 term in the expansion of (3y- m)^20

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Q: (QuestionID:T1Q2.4) What is the coefficient of 2° in the binomial expansion of (2² – 1)5 ? Choose…

A: What is the coefficient of x3 in the binomial expansion of (x2-1)5

Q: Sp-3 2x If there are 23 terms in the expansion of ху then the value of p is

A: We will find out the required value of p.

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: 12. What is the coefficient of x³y® in the expansion of (-3x + 5y)*? a) C(13,5) · 38 . 55 b)…

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Q: – })* Q7. In the binomial expansion of (2 written in terms of descending powers of x, find: a. The…

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Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

A: Given:       Binomial expansion of 1+x35 The expansion is given by the following formula:…

Q: Using the expansion for the binomial: (x° + y°)° : 5.,12 We wish to find the coefficient for the…

A: The formula for binomial expansion is x+yn=∑r=0nCrnxn−ryr. The combination formula isnCr=n!n−r!r!.

Q: A 3. What is the value of the 3rd term of the expansion (3y- 2)'? 35a b3 -10206y 20412y O 21a b?

A: Given query is to find the the third term of the expression.

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

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

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Q: e the binomial formula to find the coefficient of the p term in the expansion of (2p-2)-.

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Q: Substitute x = u?/5 °, y = 3, andn = 5 into the formula for (x + y)". ) + sC2 (u?7s)° (3}² + sC3…

A: For Crn=n!(n-r)!·r! here n!=1×2×3××...×(n-1)×n

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 binomial expansion of (1+0.05)1/2 Show each step

A: The binomial expansion is given below_

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: Find the specified nth term in the expansion of the binomial. (5x + 3y)9,    n = 8

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Q: For Exercise, find the indicated term of the binomial expansion. (5x+ 4y)6; fifth term

A: We use binomila expansion formula to expand (5x+4y)^6

Q: Use the binomial formula to find the coefficient of the q^2 y^21 term in the expansion of (2g -…

A: Given binomial expansion (2q-y)23. We need to find the coefficient of the term q2y21. For an…

Q: ; 4th term (m+n/2)8

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Q: Find the required term in the binomial expansion. (a − b)4; 2nd term

A: Topic:- algebra

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: 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: 2 16 Use the binomial formula to find the coefficient of the y z term in the expansion of (2y-z)"°.

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Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

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

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Q: Find the required term in the binomial expansion. (2a − b)8; 7th term

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Q: 3x24 (1- Q1/ A/ Expand with binomial formula:

A: Binomial expansion = ?

Q: Which expression correctly shows how to use the binomial theorem to determine the 4th term in the…

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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: 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: Use the binomial formula to find the coefficient of the y m term in the expansion of (y-2m). 10 3 13

A: we have to find the following

Q: 2 Consider the expansion of

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Q: The Binomial The orem states: -- 2. Catb) n 2 ab' n-/ Find the first five terms in the expansion of…

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Q: 4. Expand the binomial; (3x – y)* 12 5. Find the middle term in the expansion of;

A: According to Bartleby only first question can be solved at a time. But I solved first two please…

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

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Q: 2 12 Use the binomial formula to find the coefficient of the q m' 14 term in the expansion of…

A: We will use binomial theorem to find coefficient of required term

Q: 28. The expansion of the binomial (x +y)2a +5 has 18 terms. The value of a is

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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: 3. The binomial coefficients can be calculated directly by using the formula So

A: The binomial coefficients can be calculated directly by using the formulank=n!k!(n-k)!