Evaluate: (2x+1) \times (x^2+8x-3)

Expression: $\left( 2x+1 \right) \times \left( {x}^{2}+8x-3 \right)$

Distribute ${x}^{2}+8x-3$ onto $2x+1$

$2x \times \left( {x}^{2}+8x-3 \right)+1\left( {x}^{2}+8x-3 \right)$

Distribute $2x$ through the parentheses

$2{x}^{3}+16{x}^{2}-6x+1\left( {x}^{2}+8x-3 \right)$

Any expression multiplied by $1$ remains the same

$2{x}^{3}+16{x}^{2}-6x+{x}^{2}+8x-3$

Collect like terms

$2{x}^{3}+17{x}^{2}-6x+8x-3$

Collect like terms

$2{x}^{3}+17{x}^{2}+2x-3$