Write the number of terms in the expansion of

Question:

Write the number of terms in the expansion of $\left(1-3 x+3 x^{2}-x^{3}\right)^{8}$.

Solution:

The given expression is $\left(1-3 x+3 x^{2}-x^{3}\right)^{8}$. It can be written as $\left[(1-x)^{3}\right]^{8}$ i. e. $(1-x)^{24}$

Hence, the number of terms is $(24+1)$ i.e. 25

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