Question

Find the total number of terms in the expansion of $(x+a{)}^{100}+(x-a{)}^{100}$

Answer 1

Given expression is

$(x+a{)}^{100}+(x-a{)}^{100}$

Here, n = 100 which is even.

$\therefore$ Total number of terms $=\frac{n}{2}+1$

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