Special Products 4

= \({\left(A+B\right)}^3\) , where \(A=7{x}^{2}\) and \(B=10{y}^{6}\)

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

= \({\left(7{x}^{2}\right)}^{3}+3{\left(7{x}^{2}\right)}^{2}\left(10{y}^{6}\right)+3\left(7{x}^{2}\right){\left(10{y}^{6}\right)}^{2}+{\left(10{y}^{6}\right)}^{3}\)

= \(343{x}^{6}+3\left(49{x}^{4}\right)\left(10{y}^{6}\right)+3\left(7{x}^{2}\right)\left(100{y}^{12}\right)+1000{y}^{18}\)

= \(343{x}^{6}+1470{x}^{4}{y}^{6}+2100{x}^{2}{y}^{12}+1000{y}^{18}\)