Formula use:
a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)
Explanation
Given expression is: 4x^3+{32y}^3
Factorize
4x^3+{32y}^3
\rightarrow4\left(x^3+8y^3\right)
\rightarrow4\{\left(x\right)^3+\left(2y\right)^3\}
\therefore4\left(x+2y\right)\left(x^2-2xy+4y^2\right)
Ans: 4\left(x+2y\right)\left(x^2-2xy+4y^2\right)