NDA 2025 Maths · Mathematics · Binomial Theorem · hard

The number of terms in the expansion of (a+b)^10+(a-b)^10 after simplification is

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The number of terms in the expansion of

(a+b)^{10}+(a-b)^{10}

after simplification is

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Answer: (B) $6$

Terms containing odd powers of

b

cancel, while those with even powers double. The surviving powers of

b

are

0,2,4,6,8,10

, so there are

6

terms. The full expansion of one power has

11

terms.

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