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

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

Evaluate

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

Solution Steps

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

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

Use the distributive property to multiply x^{3}+x^{2}-x-1 by x-1 and combine like terms.

$$x^{4}-2x^{2}+1$$

Expand

$$x^{4}-2x^{2}+1$$

Solution Steps

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

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

Use the distributive property to multiply x^{3}+x^{2}-x-1 by x-1 and combine like terms.

$$x^{4}-2x^{2}+1$$