Question

The total number of terms in the expansion of (x + a)¹⁰⁰+ (x - a)¹⁰⁰ after simplification is:
1. 100
2. 50
3. 51
4. 101

Answer 1

Correct Answer - Option 3 : 51

Concept:

Total number of terms in the expansion of (x ± y)n  is n + 1.

Calculation:

There are 101 terms in the expansion of (x - y)100, alternately positive and negative.

Half of them (50) will get canceled when added to (x + y)100.

The other half (51) will be combined to give a total of 51 terms.