Solve x^2+4x+4-3xleft(x+2right)-2left(x^2-4right)

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

Evaluate

$$2\left(3-2x\right)\left(x+2\right)$$

Solution Steps

Use the distributive property to multiply -2 by x^{2}-4.

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

Use the distributive property to multiply -3x by x+2.

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

Combine x^{2} and -3x^{2} to get -2x^{2}.

$$-2x^{2}+4x+4-6x-2x^{2}+8$$

Combine 4x and -6x to get -2x.

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

Combine -2x^{2} and -2x^{2} to get -4x^{2}.

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

Add 4 and 8 to get 12.

$$-4x^{2}-2x+12$$

Expand

$$12-2x-4x^{2}$$

Solution Steps

Use the distributive property to multiply -2 by x^{2}-4.

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

Use the distributive property to multiply -3x by x+2.

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

Combine x^{2} and -3x^{2} to get -2x^{2}.

$$-2x^{2}+4x+4-6x-2x^{2}+8$$

Combine 4x and -6x to get -2x.

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

Combine -2x^{2} and -2x^{2} to get -4x^{2}.

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

Add 4 and 8 to get 12.

$$-4x^{2}-2x+12$$