Question

The number of distinct terms in the expansion

Answer 1

\[\huge (x+a)^{100}+(x-a)^{100}\]

Answer 2

I don't have answers so i am checking wether i am correct

Answer 3

So,

Total number of terms = Number of distinct terms in the expansion
n--->even
(n+2)/2
{100+2}/2

=51

Answer 4

(x+a)^100

exponent varies through 0->100
so there will be 101 terms in the expansion of (x+a)^100

Answer 5

yes agreed

Answer 6

half of the terms will be common

Answer 7

(x+a)^100 + (x-a)^100

odd powers get killed and even powers combine

Answer 8

0->100

number of even numbers = 51

Answer 9

when we expand second one
odd exponents will get xanceeled

Answer 10

ok so 51 is correct

Answer 11

Yep!