Binomial theorem for positive integral Index

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Question

The number of distinct terms in the expansion of ${(1 + 3 x + 3 x^{2} + x^{3})}^{7}$ is

Moderate

Solution

${(1 + 3 x + 3 x^{2} + x^{3})}^{7} = {((1 + x)^{3})}^{7} = (1 + x)^{21}$

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