Special Products 4

= \({\left(A+B\right)}^3\) , where \(A={x}^{4}\) and \(B=8{y}^{3}\)

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

= \({\left({x}^{4}\right)}^{3}+3{\left({x}^{4}\right)}^{2}\left(8{y}^{3}\right)+3\left({x}^{4}\right){\left(8{y}^{3}\right)}^{2}+{\left(8{y}^{3}\right)}^{3}\)

= \({x}^{12}+3\left({x}^{8}\right)\left(8{y}^{3}\right)+3\left({x}^{4}\right)\left(64{y}^{6}\right)+512{y}^{9}\)

= \({x}^{12}+24{x}^{8}{y}^{3}+192{x}^{4}{y}^{6}+512{y}^{9}\)