Special Products 4

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

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

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

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

= \(729{x}^{3}+2673{x}^{2}{y}^{2}+3267x{y}^{4}+1331{y}^{6}\)