Random Special Products

= \({\left(A+B\right)}^3\) , where \(A=4{x}^{3}\) and \(B=3y\)

= \(A^3+3A^2B+3AB^2+B^3\)

= \({\left(4{x}^{3}\right)}^{3}+3{\left(4{x}^{3}\right)}^{2}\left(3y\right)+3\left(4{x}^{3}\right){\left(3y\right)}^{2}+{\left(3y\right)}^{3}\)

= \(64{x}^{9}+3\left(16{x}^{6}\right)\left(3y\right)+3\left(4{x}^{3}\right)\left(9{y}^{2}\right)+27{y}^{3}\)

= \(64{x}^{9}+144{x}^{6}y+108{x}^{3}{y}^{2}+27{y}^{3}\)