Solve 2(x-2)(x+2)(x^2+4)

$$2 ( x - 2 ) ( x + 2 ) ( x ^ { 2 } + 4 )$$

Evaluate

$$2\left(x^{4}-16\right)$$

Solution Steps

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

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

Use the distributive property to multiply 2x-4 by x+2 and combine like terms.

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

Use the distributive property to multiply 2x^{2}-8 by x^{2}+4 and combine like terms.

$$2x^{4}-32$$

Expand

$$2x^{4}-32$$

Solution Steps

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

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

Use the distributive property to multiply 2x-4 by x+2 and combine like terms.

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

Use the distributive property to multiply 2x^{2}-8 by x^{2}+4 and combine like terms.

$$2x^{4}-32$$