Special Products 4

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

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

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

= \(27{x}^{9}+3\left(9{x}^{6}\right)\left({y}^{3}\right)+3\left(3{x}^{3}\right)\left({y}^{6}\right)+{y}^{9}\)

= \(27{x}^{9}+27{x}^{6}{y}^{3}+9{x}^{3}{y}^{6}+{y}^{9}\)