First slide

Binomial theorem for positive integral Index

Question

The total number of terms in the expansion of $(x + a)^{100} + (x - a)^{100}$ after simplification will be

Easy

A

202
B

51
C

50
D

None of these

Solution

$In (x + a)^{100} + (x - a)^{100} n$ is even.
$∴ Total number of terms = \frac{n}{2} + 1 = \frac{100}{2} + 1 = 51$

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