Special Products 4

= \({\left(A+B\right)}^3\) , where \(A=6{x}^{5}\) and \(B=5{y}^{4}\)

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

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

= \(216{x}^{15}+3\left(36{x}^{10}\right)\left(5{y}^{4}\right)+3\left(6{x}^{5}\right)\left(25{y}^{8}\right)+125{y}^{12}\)

= \(216{x}^{15}+540{x}^{10}{y}^{4}+450{x}^{5}{y}^{8}+125{y}^{12}\)