Solve for: (2x+3) * (2x^2-4x+5)

Expression: $\left( 2x+3 \right) \times \left( 2{x}^{2}-4x+5 \right)$

Distribute $2{x}^{2}-4x+5$ onto $2x+3$

$2x \times \left( 2{x}^{2}-4x+5 \right)+3\left( 2{x}^{2}-4x+5 \right)$

Distribute $2x$ through the parentheses

$4{x}^{3}-8{x}^{2}+10x+3\left( 2{x}^{2}-4x+5 \right)$

Distribute $3$ through the parentheses

$4{x}^{3}-8{x}^{2}+10x+6{x}^{2}-12x+15$

Collect like terms

$4{x}^{3}-2{x}^{2}+10x-12x+15$

Collect like terms

$4{x}^{3}-2{x}^{2}-2x+15$