Solve for: (5x-4y) * (7x^2-12x+27)

Expression: $\left( 5x-4y \right) \times \left( 7{x}^{2}-12x+27 \right)$

Distribute $7{x}^{2}-12x+27$ onto $5x-4y$

$5x \times \left( 7{x}^{2}-12x+27 \right)-4y \times \left( 7{x}^{2}-12x+27 \right)$

Distribute $5x$ through the parentheses

$35{x}^{3}-60{x}^{2}+135x-4y \times \left( 7{x}^{2}-12x+27 \right)$

Distribute $-4y$ through the parentheses

$35{x}^{3}-60{x}^{2}+135x-28{x}^{2}y+48xy-108y$