Calculate: (4x+2) * (6x^2-x+2)

Expression: $\left( 4x+2 \right) \times \left( 6{x}^{2}-x+2 \right)$

Distribute $6{x}^{2}-x+2$ onto $4x+2$

$4x \times \left( 6{x}^{2}-x+2 \right)+2\left( 6{x}^{2}-x+2 \right)$

Distribute $4x$ through the parentheses

$24{x}^{3}-4{x}^{2}+8x+2\left( 6{x}^{2}-x+2 \right)$

Distribute $2$ through the parentheses

$24{x}^{3}-4{x}^{2}+8x+12{x}^{2}-2x+4$

Collect like terms

$24{x}^{3}+8{x}^{2}+8x-2x+4$

Collect like terms

$24{x}^{3}+8{x}^{2}+6x+4$