How many terms are there in the expansion of the above trinomial, when expanded in descending powers of $x$ ?
$(1 + 2 x + x^{2})^{n}$

2 n

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n + 1

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2 n + 1

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n

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Solution

The correct option is D $2 n + 1$
${(1 + 2 x + x^{2})}^{n} = {(1 + x)}^{2 n}$
Number of terms in the expansion are $2 n + 1$
$x^{0}, x^{1} . . . . . x^{n}$

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