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JEE Main Mathematics

Binomial Theorem

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The expansion for a positive integral index, its general and middle terms, and simple applications.

Key formula
(x+a)n=∑r=0nnCr xn−rar,Tr+1=nCr xn−rar(x + a)^n = \sum_{r=0}^{n} {}^{n}C_{r}\, x^{n-r} a^{r}, \quad T_{r+1} = {}^{n}C_{r}\, x^{n-r} a^{r}

What this unit covers

  • Binomial theorem for a positive integral index

  • General term and middle term

  • Simple applications

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