Special Products 5

= \({\left(A-B\right)}^3\) , where \(A=9{x}^{5}\) and \(B=4{y}^{4}\)

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

= \({\left(9{x}^{5}\right)}^{3}-3{\left(9{x}^{5}\right)}^{2}\left(4{y}^{4}\right)+3\left(9{x}^{5}\right){\left(4{y}^{4}\right)}^{2}-{\left(4{y}^{4}\right)}^{3}\)

= \(729{x}^{15}-3\left(81{x}^{10}\right)\left(4{y}^{4}\right)+3\left(9{x}^{5}\right)\left(16{y}^{8}\right)-64{y}^{12}\)

= \(729{x}^{15}-972{x}^{10}{y}^{4}+432{x}^{5}{y}^{8}-64{y}^{12}\)