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 $=\frac{n}{2}+1=\frac{100}{2}+1=51$