Show that the middle term in the expansion of (1 + x)2¹ is (1-3.5 (2n- -1)) 2"x", where n is a positive integer. n! ...

Q: Find the constant term in the expansion (2y + 1) O 4032 4232 O 4323 4023

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Q: (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x?.

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Q: 4. Find the expansion of (x + y)6 using Binomial Theorem.

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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: Consider the expansion of (2+x²³²) ¹+¹ ² where 2+2 nt next the coefficient of X² is 1792, Given that…

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Q: Prove the following using the binomial theorem: ()=()+ 2n

A: In this context, the aim is to prove 2n2=2n2+n2.

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: 16. Find the term containing x18 in the binomial expansion of (x2- y)15.

A: A binomial expression is an expression of the form a+bn. This binomial expression can be expanded…

Q: P1. In the binomial expansion of (2-3) written in terms of descending power of X, find; a the th…

A: Explained below