Special Products 5

= \({\left(A-B\right)}^3\) , where \(A=7{x}^{5}\) and \(B=5{y}^{6}\)

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

= \({\left(7{x}^{5}\right)}^{3}-3{\left(7{x}^{5}\right)}^{2}\left(5{y}^{6}\right)+3\left(7{x}^{5}\right){\left(5{y}^{6}\right)}^{2}-{\left(5{y}^{6}\right)}^{3}\)

= \(343{x}^{15}-3\left(49{x}^{10}\right)\left(5{y}^{6}\right)+3\left(7{x}^{5}\right)\left(25{y}^{12}\right)-125{y}^{18}\)

= \(343{x}^{15}-735{x}^{10}{y}^{6}+525{x}^{5}{y}^{12}-125{y}^{18}\)