Special Products 4

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

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

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

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

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