# The total number of terms in the expansion of

Question:

The total number of terms in the expansion of $(x+a)^{100}+(x-a)^{100}$ after simplification is

(a) 202

(b) 51

(c) 50

(d) none of these

Solution:

(b) 51

Here, n, i.e., 100, is even.

$\therefore$ Total number of terms in the expansion $=\frac{n}{2}+1=\frac{100}{2}+1=51$

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