List questions from binomial-theorem

Published on 06 Dec 2017 - 12:52

124

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A problem where I have tried to use binomial theorem but getting a wrong answer which is $x^5$/42 please help me

Published on 06 Dec 2017 - 19:58

412

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Coefficient of $x^3$ in $(1-2x+3x^2-4x^3)^{1/2}$

Published on 27 Mar 2026 - 3:40

1.9k

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Finding sum of binomial series

Published on 08 Dec 2017 - 3:41

2.9k

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Binomial formula on complex number

Published on 09 Dec 2017 - 8:04

126

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$\left (a+b\sqrt 2 \right )^{100}+\left (c+d\sqrt 2 \right )^{100}=7+5\sqrt 2$

Published on 11 Dec 2017 - 10:14

81

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Expression Similar to Binomial Theorem Sum

Published on 13 Dec 2017 - 3:18

309

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Product of binomial coefficients taken two at a time

Published on 16 Dec 2017 - 14:29

63

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Calculate $(-1)^k \left(\begin{matrix} -1/2 \\ k\end{matrix}\right)$. Is it equal to $\frac {(2k)!}{2^{2k}(k!)^2}$?

Published on 17 Dec 2017 - 13:54

1k

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How to show that the integral part of a binomial expansion is even?

Published on 19 Dec 2017 - 7:12

342

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Numerically greatest coefficient in a multinomial expression

Published on 27 Mar 2026 - 1:42

45

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How to simplify the sum $\sum_{k=0}^{n}\binom n k q^k(1-p-q)^{n-k}$?

Published on 21 Dec 2017 - 21:23

386

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I’m not following Newton’s derivation of $\frac{d}{dx}(\arcsin x)$

Published on 22 Dec 2017 - 6:05

79

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find the $\sum\limits_{k=0}^n \frac{(-1)^k}{k! (2k+1)} \frac{1}{(n-k)!}$

Published on 22 Dec 2017 - 17:25

88

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Proof help; binomial coefficients

Published on 22 Dec 2017 - 20:54

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Question about difference of powers related to FLT

A problem where I have tried to use binomial theorem but getting a wrong answer which is $x^5$/42 please help me

Coefficient of $x^3$ in $(1-2x+3x^2-4x^3)^{1/2}$

Finding sum of binomial series

Binomial formula on complex number

$\left (a+b\sqrt 2 \right )^{100}+\left (c+d\sqrt 2 \right )^{100}=7+5\sqrt 2$

Expression Similar to Binomial Theorem Sum

Product of binomial coefficients taken two at a time

Calculate $(-1)^k \left(\begin{matrix} -1/2 \\ k\end{matrix}\right)$. Is it equal to $\frac {(2k)!}{2^{2k}(k!)^2}$?

How to show that the integral part of a binomial expansion is even?

Numerically greatest coefficient in a multinomial expression

How to simplify the sum $\sum_{k=0}^{n}\binom n k q^k(1-p-q)^{n-k}$?

I’m not following Newton’s derivation of $\frac{d}{dx}(\arcsin x)$

find the $\sum\limits_{k=0}^n \frac{(-1)^k}{k! (2k+1)} \frac{1}{(n-k)!}$

Proof help; binomial coefficients

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