Question

The number of terms in the expansion of (x+a)^100+(x-a)^100

Answer 1

Answer:

51

Step-by-step explanation:

( X + a ) ^ 100 = x*199 + nc1 ax^99 + nc2a^2x*98 + ....+nc99a^99x + a^100

( X - a ) ^ 100 = x*199 - nc1 ax^99 + nc2a^2x*98- .... - nc99a^99x + a^100

50 terms will cancel each other

and

51 terms will add up to each other  

the result will be 51 terms