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

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

Evaluate

$$0$$

Solution Steps

To find the opposite of x^{2}-x, find the opposite of each term.

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

To find the opposite of x-1, find the opposite of each term.

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

Combine x and -x to get 0.

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

To find the opposite of 1-x^{2}, find the opposite of each term.

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

Subtract 1 from 1 to get 0.

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

Combine -x^{2} and x^{2} to get 0.

$$0$$

Factor

$$0$$