Special Products 4

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

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

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

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

= \(343{x}^{18}+1470{x}^{12}y+2100{x}^{6}{y}^{2}+1000{y}^{3}\)