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Chapter: 11th Mathematics : UNIT 5 : Binomial Theorem, Sequences and Series

Particular cases of Binomial Theorem

Mathematics : Binomial Theorem, Sequences and Series

Particular cases of Binomial Theorem

 

(i) Replacing b by (−b), in the binomial expansion of (a + b)n, n N, we get


Observe that the sign ‘+’ and ‘−’ appear alternately in the binomial expansion of (a − b)n.

 

(ii) Replacing a by 1 and b by x, in the binomial expansion of (a + b)n, we get










 

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