Wrtie the number of terms in the expansion of $[(2 x + y^{3})^{4}]^{7}$

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Solution

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

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

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

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