Formula use:
a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)
Explanation
Given expression is: 27x^3+{64y}^3
Factorize
27x^3+{64y}^3
\rightarrow\left(3x\right)^3+\left(4y\right)^3
\therefore\left(3x+4y\right)\left(9x^2-12xy+16y^2\right)
Ans: \left(3x+4y\right)\left(9x^2-12xy+16y^2\right)