Random Special Products

= \({\left(A+B\right)}^3\) , where \(A=3{x}^{5}\) and \(B=2{y}^{4}\)

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

= \({\left(3{x}^{5}\right)}^{3}+3{\left(3{x}^{5}\right)}^{2}\left(2{y}^{4}\right)+3\left(3{x}^{5}\right){\left(2{y}^{4}\right)}^{2}+{\left(2{y}^{4}\right)}^{3}\)

= \(27{x}^{15}+3\left(9{x}^{10}\right)\left(2{y}^{4}\right)+3\left(3{x}^{5}\right)\left(4{y}^{8}\right)+8{y}^{12}\)

= \(27{x}^{15}+54{x}^{10}{y}^{4}+36{x}^{5}{y}^{8}+8{y}^{12}\)