Question

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

Answer 1

Given :

(x+a)¹⁰⁰ + (x-a)¹⁰⁰

So odd powers of x cancel each other, we are left with even powers of x or say odd terms of expansion. 

So total number of terms are T₁,T₃,…T₉₉,T₁₀₁

= \(\frac{1+101}{2}\)

= 51