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

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

Evaluate

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

Solution Steps

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

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

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

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

Expand

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

Solution Steps

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

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

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

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