3. Use the binomial theorem to prove that 2n 2n |22n–2k = (2.5)2". k k=0

Q: which member of binomial expression 10 6, of

A: Binomial expression=2x3+x−110According to Binomial theorem, a+bn=∑k=0nnkan−kbk

Q: Use four terms of Newton's binomial expansion to approximate 11.

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Q: Find all integers n such that (n^2) - 1 is prime.

A: n² - 1 = (n-1)(n+1)  Now, if (n² - 1) needs to be a prime, then, either n-1 is equal to 1 or, n+1 is…

Q: Expand in binomial theorem (2x-y)7

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Q: Use the binomial theorem to expand the expression (Dsicrete math)

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Q: Use four terms of Newton's binomial expansion to approximate 11.

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

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Q: Which member of binomial expansion of (2x^3 + x^-1)^10 contains x^6 ?

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Q: Explain how to find a particular term in a binomial expansion without having to write out the entire…

A: Binomial theorem: a+bn=C0nan+C1nan-1b+C2nan-2b2+....+CnnbnWhere Crn=n!(n-r)!r! Using the binomial…

Q: Use the binomial theorem to find the value of (3 + 21)4 where i is the imaginary unit. The Binomial…

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

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Q: What is the coefficient of (x^8)(y^12) in the expansion of (2x+3y)^20

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Q: Expand (4-x)^4 by using binomial expansion

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Q: What is the coefficient of x^8 in the expansion of (2+x)^11?

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Q: 7) Use binomial theorem to expand (2x-1)^6

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Q: The first three terms in the expansion of (1 + ay)^n are 1, 12y, and 68y^2. Find a and n.

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Q: Find the sum of those integers between 1 and 500 which are multiples of 2 as well as of 5

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Q: Compute phi(6^2 x 4^3). (Note that this is not a prime power factorization.)

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Q: (x³ + })*

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Q: What is the coefficient of (x^8)(y^12) in the expansion of (y+x)^20

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Q: Use the Binomial Theorem to expand the binomial (3x – 5y)*. 81x* + 625y* b. 81x* – 540x'y + 1350x²y²…

A: The expansion of 3x-5y4 by the help of Binomial Theorem is

Q: How do you find the term independent of y in the binomial expansions

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Q: Find the 7-adic expansion of 1/2 up through the 7^3 power

A: jyujhjyukjhjkkhjjghfgf