First slide

Binomial theorem for positive integral Index

Question

The total number of terms in the expansion of $(x + a)^{200} + (x - a)^{200}$ after simplification is

Moderate

A

101
B

102
C

201
D

202

Solution

$\begin{array}{l} (x + a)^{200} + (x - a)^{200} \\ = 2 [^{200} C_{0} x^{200} +^{200} C_{2} x^{198} a^{2} + \dots +^{200} C_{200} a^{200}] \end{array}$
These are 101 terms.

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