TOPICS

Formulae

Binomial Theorem

1. Binomial Expansion : (a + b)^{n}=^{n}C_{0}a^{n}+^{n}C_{1}a^{n-1}b +^{n}C_{2}a^{n-2}b^{2}+ ...+^{n}C_{n-1}a.b^{n-1}+^{n}C_{n}b^{n}2. General Term of an Expansion : (a + b)^{n}is T_{r+1}=^{n}C_{r}a^{n-r}b^{r}3. Middle Term of an Expansion : In the expansion (a + b)^{n}, if n is even, then the middle term is the (n/2 + 1)th term. If n is odd, then the middle terms are (n + 1)/2 th and [(n + 1)/2 + 1] th terms.

CLASSES