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

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Solution

We have, $(1 - 3 x + 3 x + 3 x^{2} - x^{3})^{8} = [(1 - x)^{3}]^{8} = (1 - x)^{24}$

So, there are 25 terms in the expansion of $(1 - 3 x^{2} + 3 x^{2} - x^{3})^{8}$

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