Ask two mathematical formulas (binomial theorem) （a+b）^5 + (a-b)^5 (a+b) ^4 - (a-b)^4

Ask two mathematical formulas (binomial theorem) （a+b）^5 + (a-b)^5 (a+b) ^4 - (a-b)^4

In the expansion of binomial x · (x2 − 1x) 5, the coefficient of the term with X5 is______ ．

The general term formula of the expansion of binomial x · (x2 − 1x) 5 & nbsp; is tr + 1 = Cr5 · (- 1) r · x11-3r, let 11-3r = 5, get r = 2, the coefficient of the term containing X5 is 10, so the answer is: 10

What is Newton's binomial theorem and how to prove it

Binomial theorem, also known as Newton's binomial theorem, was proposed by Isaac Newton in 1664 and 1665, that is, (a + b) ^ n = a ^ n + C (n 1) a ^ (n-1) B +... + B ^ N1 / √ (1-A? / b?) = (1-A? / b?) ^ (- 1 / 2) [(1 / 2-1) (1 / 2-2) (1 / 2-3)... (1 / 2-m] / [M (m-1) (m-2) *... * 3 * 2 * 1] * (- a? / b?) ^ m [