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Question
Write the number of terms in the expansion of \[\left( 1 - 3x + 3 x^2 - x^3 \right)^8\]
Solution
\[\text{ The given expression is } (1 - 3x + 3 x^2 - x^3 )^8 . \text{ It can be written as } [(1 - x )^3 ]^8 i . e . (1 - x )^{24} \]
\[\text{ Hence, the number of terms is } \left( 24 + 1 \right) i . e . 25\]
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