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

Answer 1

Option : (B)

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