Special Products 5

= \({\left(A-B\right)}^3\) , where \(A=8{x}^{3}\) and \(B=7{y}^{2}\)

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

= \({\left(8{x}^{3}\right)}^{3}-3{\left(8{x}^{3}\right)}^{2}\left(7{y}^{2}\right)+3\left(8{x}^{3}\right){\left(7{y}^{2}\right)}^{2}-{\left(7{y}^{2}\right)}^{3}\)

= \(512{x}^{9}-3\left(64{x}^{6}\right)\left(7{y}^{2}\right)+3\left(8{x}^{3}\right)\left(49{y}^{4}\right)-343{y}^{6}\)

= \(512{x}^{9}-1344{x}^{6}{y}^{2}+1176{x}^{3}{y}^{4}-343{y}^{6}\)