Solve for: (7x^3-2y) * (-3x^5+xy-2y^2)

Expression: $\left( 7{x}^{3}-2y \right) \times \left( -3{x}^{5}+xy-2{y}^{2} \right)$

Distribute $-3{x}^{5}+xy-2{y}^{2}$ onto $7{x}^{3}-2y$

$7{x}^{3} \times \left( -3{x}^{5}+xy-2{y}^{2} \right)-2y \times \left( -3{x}^{5}+xy-2{y}^{2} \right)$

Distribute $7{x}^{3}$ through the parentheses

$-21{x}^{8}+7{x}^{4}y-14{x}^{3}{y}^{2}-2y \times \left( -3{x}^{5}+xy-2{y}^{2} \right)$

Distribute $-2y$ through the parentheses

$-21{x}^{8}+7{x}^{4}y-14{x}^{3}{y}^{2}+6{x}^{5}y-2x{y}^{2}+4{y}^{3}$