8. Binomial Theorem

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

BINOMIAL THEOREM CLASS 11 MATHS

The expansion of a binomial for any positive integer n is given by Binomial Theorem, which is (a + b)n
= nC0an + nC1an – 1 b + nC2an – 2 b2 + … + nCn – 1 abn – 1 + nCnbn

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 Tr + 1 = nCran – r. br

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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Binomial Theorem Lecture 1
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Binomial Theorem Lecture 2
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Binomial Theorem Lecture 3
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Binomial Theorem Lecture 5
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Binomial Theorem Lecture 6
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