Plus One Maths Notes Chapter 8 Binomial Theorem

Plus One Maths Notes Chapter 8 Binomial Theorem is part of Plus One Maths Notes. Here we have given Kerala Plus One Maths Notes Chapter 8 Binomial Theorem.

BoardSCERT, Kerala
Text BookNCERT Based
ClassPlus One
SubjectMaths Notes
ChapterChapter 8
Chapter NameBinomial Theorem
CategoryPlus One Kerala

Kerala Plus One Maths Notes Chapter 8 Binomial Theorem

Binomial theorem gives the expansion of (a + b)n for a rational number ‘n’. In this Unit, we study the binomial theorem for positive integral indices only.

I. Binomial Theorem

The expansion of a binomial for any positive integral ‘n’ is given by the binomial theorem.

Plus One Maths Notes Chapter 8 Binomial Theorem 1

There are (n + 1) terms in the expansion of (a + b)n.

The sum of the indices of ‘a’ and ‘b’ in every term of the expansion is ‘n’.

The general term in the expansion is tr+1 = nCr an-r br

Middle term in the expansion:

1. If ‘n’ is even, (left(frac{n}{2}+1right)^{t h}) term.

2. If ‘n’ is odd, (left(frac{n+1}{2}right)^{t h}) and (left(frac{n+1}{2}+1right)^{b_{t}}) term.

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