Solve for: -(x+2) * (x-2)^2

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

Use ${\left( a-b \right)}^{2}={a}^{2}-2ab+{b}^{2}$ to expand the expression

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

Simplify the expression

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

Collect like terms

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

Collect like terms

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

When there is a $-$ in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses

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