Special Products 4

= \({\left(A+B\right)}^3\) , where \(A=7{x}^{3}\) and \(B=3{y}^{2}\)

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

= \({\left(7{x}^{3}\right)}^{3}+3{\left(7{x}^{3}\right)}^{2}\left(3{y}^{2}\right)+3\left(7{x}^{3}\right){\left(3{y}^{2}\right)}^{2}+{\left(3{y}^{2}\right)}^{3}\)

= \(343{x}^{9}+3\left(49{x}^{6}\right)\left(3{y}^{2}\right)+3\left(7{x}^{3}\right)\left(9{y}^{4}\right)+27{y}^{6}\)

= \(343{x}^{9}+441{x}^{6}{y}^{2}+189{x}^{3}{y}^{4}+27{y}^{6}\)