Question

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

Answer 1

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

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

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