Special Products 4

= \({\left(A+B\right)}^3\) , where \(A=5{x}^{2}\) and \(B=3{y}^{2}\)

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

= \({\left(5{x}^{2}\right)}^{3}+3{\left(5{x}^{2}\right)}^{2}\left(3{y}^{2}\right)+3\left(5{x}^{2}\right){\left(3{y}^{2}\right)}^{2}+{\left(3{y}^{2}\right)}^{3}\)

= \(125{x}^{6}+3\left(25{x}^{4}\right)\left(3{y}^{2}\right)+3\left(5{x}^{2}\right)\left(9{y}^{4}\right)+27{y}^{6}\)

= \(125{x}^{6}+225{x}^{4}{y}^{2}+135{x}^{2}{y}^{4}+27{y}^{6}\)