Special Products 5

= \({\left(A-B\right)}^3\) , where \(A=5{x}^{4}\) and \(B=7{y}^{2}\)

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

= \({\left(5{x}^{4}\right)}^{3}-3{\left(5{x}^{4}\right)}^{2}\left(7{y}^{2}\right)+3\left(5{x}^{4}\right){\left(7{y}^{2}\right)}^{2}-{\left(7{y}^{2}\right)}^{3}\)

= \(125{x}^{12}-3\left(25{x}^{8}\right)\left(7{y}^{2}\right)+3\left(5{x}^{4}\right)\left(49{y}^{4}\right)-343{y}^{6}\)

= \(125{x}^{12}-525{x}^{8}{y}^{2}+735{x}^{4}{y}^{4}-343{y}^{6}\)