Solve x(x+1)-1(x+1)

$$x ( x + 1 ) - 1 ( x + 1 )$$

Evaluate

$$x^{2}-1$$

Solution Steps

Use the distributive property to multiply x by x+1.

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

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

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

Combine x and -x to get 0.

$$x^{2}-1$$

Expand

$$x^{2}-1$$

Solution Steps

Use the distributive property to multiply x by x+1.

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

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

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

Combine x and -x to get 0.

$$x^{2}-1$$