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Multinomial theorem for rational exponent in application to a trinomial

score 913 · Answer 1 · 2026-03-26 02:44:36

913

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Multinomial theorem for rational exponent in application to a trinomial

Published on 26 Mar 2026 - 2:44

score 122 · Answer 2 · 2026-02-23 20:39:54

122

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understanding when to use the binomial theorem.. or using it properly in different questions

Published on 23 Feb 2026 - 20:39

score 390 · Answer 3 · 2017-04-15 14:08:49

390

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Find the constant term in the expansion of $(x^2+1)(x+\frac{1}{x})^{10}$

Published on 15 Apr 2017 - 14:08

score 280 · Answer 4 · 2017-04-16 13:56:40

280

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Solving recursive inequality involving binomial coefficients.

Published on 16 Apr 2017 - 13:56

score 305 · Answer 5 · 2017-04-18 07:33:36

305

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Number of terms in the expansion

Published on 18 Apr 2017 - 7:33

score 1.3k · Answer 6 · 2017-04-18 12:06:48

1.3k

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How to evaulate this integral using Newtons binomial theorem?

Published on 18 Apr 2017 - 12:06

score 1.8k · Answer 7 · 2017-04-19 23:29:27

1.8k

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Let $( \sqrt{2} + 1)^{1000} = a + b \sqrt{2}$, where a and b are integers. Find the greatest common factor of b and 81.

Published on 19 Apr 2017 - 23:29

score 75 · Answer 8 · 2017-04-20 17:01:15

75

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Evaluating a summation related to binomial expansion

Published on 20 Apr 2017 - 17:01

score 68 · Answer 9 · 2017-04-21 12:18:59

68

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How can I correctly write the expansion $g(x) = \|y\|^2 -2 \langle y,x \rangle + \|x\|^2$ in summation form?

Published on 21 Apr 2017 - 12:18

score 241 · Answer 10 · 2026-04-01 12:46:40

241

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Sum of Binomial distribution

Published on 01 Apr 2026 - 12:46

score 69 · Answer 11 · 2017-04-23 15:43:16

69

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What is $(1+x+\cdots+x^{n-1})^2$?

Published on 23 Apr 2017 - 15:43

score 1k · Answer 12 · 2017-04-24 06:23:05

1k

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Smoothstep sigmoid-like function: Can anyone prove this relation?

Published on 24 Apr 2017 - 6:23

score 133 · Answer 13 · 2017-04-27 14:36:40

133

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How to find in a more formal way $\lfloor{(2+\sqrt3)^4}\rfloor$

Published on 27 Apr 2017 - 14:36

score 101 · Answer 14 · 2017-04-27 17:06:28

101

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Simplification involving binomial theorem

Published on 27 Apr 2017 - 17:06

score 3.8k · Answer 15 · 2026-04-02 10:34:14

3.8k

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Probability of rolling a value a certain number of times in a certain number of rolls

Published on 02 Apr 2026 - 10:34

List Question

Multinomial theorem for rational exponent in application to a trinomial

understanding when to use the binomial theorem.. or using it properly in different questions

Find the constant term in the expansion of $(x^2+1)(x+\frac{1}{x})^{10}$

Solving recursive inequality involving binomial coefficients.

Number of terms in the expansion

How to evaulate this integral using Newtons binomial theorem?

Let $( \sqrt{2} + 1)^{1000} = a + b \sqrt{2}$, where a and b are integers. Find the greatest common factor of b and 81.

Evaluating a summation related to binomial expansion

How can I correctly write the expansion $g(x) = \|y\|^2 -2 \langle y,x \rangle + \|x\|^2$ in summation form?

Sum of Binomial distribution

What is $(1+x+\cdots+x^{n-1})^2$?

Smoothstep sigmoid-like function: Can anyone prove this relation?

How to find in a more formal way $\lfloor{(2+\sqrt3)^4}\rfloor$

Simplification involving binomial theorem

Probability of rolling a value a certain number of times in a certain number of rolls

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