General Binomial Expansion - Multiple (AQA A-Level Mathematics): Flashcards

$(a + b)^n$ where $n$ is any real number

$\frac{n!}{k!(n-k)!}$

$|x| < 1$

$1$

$nx$

$\frac{n(n-1)}{2!}x^2$

$\frac{n(n-1)(n-2)\dots(n-k+1)}{k!}$

For small values of $x$

Repeated application of binomial theorem or multinomial expansion

Infinite series