Solve 2(x^2-x-1)(x^2-x+1)

$$2 ( x ^ { 2 } - x - 1 ) ( x ^ { 2 } - x + 1 )$$

Evaluate

$$2\left(x^{4}-2x^{3}+x^{2}-1\right)$$

Solution Steps

Use the distributive property to multiply 2 by x^{2}-x-1.

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

Use the distributive property to multiply 2x^{2}-2x-2 by x^{2}-x+1 and combine like terms.

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

Expand

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

Solution Steps

Use the distributive property to multiply 2 by x^{2}-x-1.

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

Use the distributive property to multiply 2x^{2}-2x-2 by x^{2}-x+1 and combine like terms.

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