Special Products 4

= \({\left(A+B\right)}^3\) , where \(A=3{x}^{4}\) and \(B={y}^{2}\)

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

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

= \(27{x}^{12}+3\left(9{x}^{8}\right)\left({y}^{2}\right)+3\left(3{x}^{4}\right)\left({y}^{4}\right)+{y}^{6}\)

= \(27{x}^{12}+27{x}^{8}{y}^{2}+9{x}^{4}{y}^{4}+{y}^{6}\)