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Introduction to Binomial Theorem

Mathematics Class XI Chapter 5: Binomial Theorem Introduction to Binomial Theorem

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We have learnt how to find the squares and cubes of binomials like $a+b , a-b$ ,.etc.

We have to expand $(a+b)^n$ , where $n$ is a integer or rational number. This difficulty was overcome by a theorem known as Binomial Theorem.

History:

Binomial expansion for the case $n=2$ was used by Greek Mathematician Euclid around 300 B.C. During that period the Hindu Mathematicians also knew about the co-efficient of binomial expansion.

Sir Isaac Newton generalized the binomial theorem for negative integral and fractional indices in 1665.

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