# Write the total number of terms in the expansion of

Question:

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

Solution:

The total number of terms are 101 of which 50 terms get cancelled.

Hence, the total number of terms in the expansion of $(x+a)^{100}+(x-a)^{100}$ is 51 .