Special Products 4

= \({\left(A+B\right)}^3\) , where \(A=11{x}^{2}\) and \(B=9{y}^{6}\)

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

= \({\left(11{x}^{2}\right)}^{3}+3{\left(11{x}^{2}\right)}^{2}\left(9{y}^{6}\right)+3\left(11{x}^{2}\right){\left(9{y}^{6}\right)}^{2}+{\left(9{y}^{6}\right)}^{3}\)

= \(1331{x}^{6}+3\left(121{x}^{4}\right)\left(9{y}^{6}\right)+3\left(11{x}^{2}\right)\left(81{y}^{12}\right)+729{y}^{18}\)

= \(1331{x}^{6}+3267{x}^{4}{y}^{6}+2673{x}^{2}{y}^{12}+729{y}^{18}\)