Special Products 4

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

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

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

= \({x}^{9}+3\left({x}^{6}\right)\left(4{y}^{4}\right)+3\left({x}^{3}\right)\left(16{y}^{8}\right)+64{y}^{12}\)

= \({x}^{9}+12{x}^{6}{y}^{4}+48{x}^{3}{y}^{8}+64{y}^{12}\)