Special Products 4

= \({\left(A+B\right)}^3\) , where \(A={x}^{4}\) and \(B={y}^{5}\)

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

= \({\left({x}^{4}\right)}^{3}+3{\left({x}^{4}\right)}^{2}\left({y}^{5}\right)+3\left({x}^{4}\right){\left({y}^{5}\right)}^{2}+{\left({y}^{5}\right)}^{3}\)

= \({x}^{12}+3\left({x}^{8}\right)\left({y}^{5}\right)+3\left({x}^{4}\right)\left({y}^{10}\right)+{y}^{15}\)

= \({x}^{12}+3{x}^{8}{y}^{5}+3{x}^{4}{y}^{10}+{y}^{15}\)