Calculate: (3x-2) * (4-3x)

Expression: $\left( 3x-2 \right) \times \left( 4-3x \right)$

Distribute $4-3x$ onto $3x-2$

$3x \times \left( 4-3x \right)-2\left( 4-3x \right)$

Distribute $3x$ through the parentheses

$12x-9{x}^{2}-2\left( 4-3x \right)$

Distribute $-2$ through the parentheses

$12x-9{x}^{2}-8+6x$

Collect like terms

$18x-9{x}^{2}-8$

Use the commutative property to reorder the terms

$-9{x}^{2}+18x-8$