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# 8. Binomial Theorem

## BINOMIAL THEOREM CLASS 11 MATHS

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If you feel like giving up, just look back on how far you are already.

*The expansion of a binomial for any positive integer n is given by Binomial Theorem, which is (a + b) ^{n}*

*The coefficients of the expansions are arranged in an array. This array is called Pascal’s triangle.*

*The general term of an expansion (a + b) ^{n} is T_{r + 1} = ^{n}C_{r}a^{n – r}. b^{r} *

*In the expansion (a + b) ^{n} , if n is even, then the middle term is the \left ( \frac{n}{2} + 1 \right )^\text{th} term. If n is odd, then the middle terms are \frac{n + 1}{2} and \left ( \frac{n + 1}{2} +1 \right ) terms.*

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