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

202

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None of these

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Solution

The correct option is B
51

51

Here, n, i.e. 100, is even

$∴$ Total number of terms in the expansion $= \frac{n}{2} + 1 = \frac{100}{2} + 1 = 51$

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Find the total number of terms in the expansion of $(x + a)^{100} + (x - a)^{100}$

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