Write the number of terms in the expansion of

Question:

Write the number of terms in the expansion of $\left[\left(2 x+y^{3}\right)^{4}\right]^{7}$.

Solution:

In the binomial expansion of $(a+b)^{n}$, total number of terms will be $(n+1)$.

Now, $\left[\left(2 x+y^{3}\right)^{4}\right]^{7}=\left(2 x+y^{3}\right)^{28}$

Therefore, in the expansion of $\left[\left(2 x+y^{3}\right)^{4}\right]^{7}$, total number of terms will be $28+1=29$.

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