Question

Find the b and power value in the binomial with the given expansion of the first 3 terms

score 391 · Answer 1 · 2026-04-15 07:34:44

391

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Find the b and power value in the binomial with the given expansion of the first 3 terms

Published on 15 Apr 2026 - 7:34

score 141 · Answer 2 · 2026-03-25 13:04:59

141

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Is $(ab+1)^{a^n}-1$ always divisible by $a^{n+1}b$?

Published on 25 Mar 2026 - 13:04

score 1.4k · Answer 3 · 2026-04-14 23:51:43

1.4k

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how to compute Z^n?

Published on 14 Apr 2026 - 23:51

score 1.5k · Answer 4 · 2026-04-16 09:46:09

1.5k

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Pairs of non-empty disjoint sets

Published on 16 Apr 2026 - 9:46

score 9.5k · Answer 5 · 2026-04-10 18:02:32

9.5k

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Binomial formula for matrices

Published on 10 Apr 2026 - 18:02

score 691 · Answer 6 · 2026-04-15 05:54:54

when (1+bx)^5 is expanded the coefficient of x is equal to the coefficient of x^2. Find the value of b when b is not equal to zero

score 1.3k · Answer 7 · 2026-04-15 19:02:11

1.3k

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Find the term independent of $x$ in the expansion of $(x^{2}+4/x)^{6}$

Published on 15 Apr 2026 - 19:02

score 81 · Answer 8 · 2026-04-11 00:04:26

81

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A problem on Binomial Theorem

Published on 11 Apr 2026 - 0:04

score 3.6k · Answer 9 · 2026-04-15 20:01:26

3.6k

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Prove that: $ \sum_{r=0}^n (-1)^r (^nCr_) \frac{1 + r\log_e10}{(1 + log_e10^n)^r} = 0 $

Published on 15 Apr 2026 - 20:01

score 61 · Answer 10 · 2026-03-26 01:04:38

61

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Simplify $1 - \sum_{k=0}^{n} {n \choose k} q_{1}^{k}(1-q_{1})^{n-k} \log(1+e^{2\beta(n-k)})$

Published on 26 Mar 2026 - 1:04

score 200 · Answer 11 · 2026-04-13 23:06:47

200

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Probability of drawing 'm' same colored marbles out of 'k' boxes

Published on 13 Apr 2026 - 23:06

score 296 · Answer 12 · 2026-05-10 15:30:28

296

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Show that $\sum\limits_{n=0}^{\infty} \binom{3n}{n} (\frac{4}{125})^n=\frac{1}{2\pi i}\int_{C(0;1)}\frac{-125}{(z-4)(4z^2+28z-1)}dz$

Published on 10 May 2026 - 15:30

score 132 · Answer 13 · 2026-03-26 01:04:41

132

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Can a negative power for a binomial expansion be taken as the same expression in the denominator with a positive power?

Published on 26 Mar 2026 - 1:04

score 112 · Answer 14 · 2026-03-26 00:58:22

112

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Why is this result using binomial coefficients true?

Published on 26 Mar 2026 - 0:58

score 4k · Answer 15 · 2026-04-12 05:36:37

4k

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Is there a formula for $(x+y+z)^n$?

Published on 12 Apr 2026 - 5:36

List Question

Find the b and power value in the binomial with the given expansion of the first 3 terms

Is $(ab+1)^{a^n}-1$ always divisible by $a^{n+1}b$?

how to compute Z^n?

Pairs of non-empty disjoint sets

Binomial formula for matrices

when (1+bx)^5 is expanded the coefficient of x is equal to the coefficient of x^2. Find the value of b when b is not equal to zero

Find the term independent of $x$ in the expansion of $(x^{2}+4/x)^{6}$

A problem on Binomial Theorem

Prove that: $ \sum_{r=0}^n (-1)^r (^nCr_) \frac{1 + r\log_e10}{(1 + log_e10^n)^r} = 0 $

Simplify $1 - \sum_{k=0}^{n} {n \choose k} q_{1}^{k}(1-q_{1})^{n-k} \log(1+e^{2\beta(n-k)})$

Probability of drawing 'm' same colored marbles out of 'k' boxes

Show that $\sum\limits_{n=0}^{\infty} \binom{3n}{n} (\frac{4}{125})^n=\frac{1}{2\pi i}\int_{C(0;1)}\frac{-125}{(z-4)(4z^2+28z-1)}dz$

Can a negative power for a binomial expansion be taken as the same expression in the denominator with a positive power?

Why is this result using binomial coefficients true?

Is there a formula for $(x+y+z)^n$?

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