Special Products 4

= \({\left(A+B\right)}^3\) , where \(A=3{x}^{6}\) and \(B=7{y}^{4}\)

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

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

= \(27{x}^{18}+3\left(9{x}^{12}\right)\left(7{y}^{4}\right)+3\left(3{x}^{6}\right)\left(49{y}^{8}\right)+343{y}^{12}\)

= \(27{x}^{18}+189{x}^{12}{y}^{4}+441{x}^{6}{y}^{8}+343{y}^{12}\)