CAIE: A Level - Mathematics 9709 - Pure Mathematics 3

Partial Fractions and Binomial Expansions / Binomial Expansions

Binomial expansions of (1 + x)ⁿ and (a + x)ⁿ where n is any integer or fraction and |x| < 1

\((1+x)^n = 1 + nx + \frac{n(n-1)}{2!} x^2 + \frac{n(n-1)(n-2)}{3!} x^3 + \cdots\)
\((a+x)^n = a^n + na^{n-1}x + \frac{n(n-1)}{2!}a^{n-2}x^2 + \frac{n(n-1)(n-2)}{3!}a^{n-3}x^3 + \cdots\)

Past Papers Topic Wise Questions A Level: Mathematics 9709 - Pure Mathematics 3 Partial Fractions and Binomial Expansions | Binomial Expansions

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