Special Products 4

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

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

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

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

= \(8{x}^{15}+12{x}^{10}{y}^{4}+6{x}^{5}{y}^{8}+{y}^{12}\)