Special Products 4

= \({\left(A+B\right)}^3\) , where \(A={x}^{5}\) and \(B=2{y}^{6}\)

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

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

= \({x}^{15}+3\left({x}^{10}\right)\left(2{y}^{6}\right)+3\left({x}^{5}\right)\left(4{y}^{12}\right)+8{y}^{18}\)

= \({x}^{15}+6{x}^{10}{y}^{6}+12{x}^{5}{y}^{12}+8{y}^{18}\)