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

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

$|x| < 1$

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

An infinite series

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

$-\frac{1}{8}$

To give an approximate expansion

Repeated binomial theorem or multinomial expansion

Express as $2^{\frac{1}{2}}(1 - \frac{3x}{2})^{\frac{1}{2}}$

Series may diverge