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= \({\left(A-B\right)}^3\) , where \(A=2{x}^{5}\) and \(B=9{y}^{2}\)

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

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

= \(8{x}^{15}-3\left(4{x}^{10}\right)\left(9{y}^{2}\right)+3\left(2{x}^{5}\right)\left(81{y}^{4}\right)-729{y}^{6}\)

= \(8{x}^{15}-108{x}^{10}{y}^{2}+486{x}^{5}{y}^{4}-729{y}^{6}\)