Solve x(x-3)-(x+2)(x-1)

$$x ( x - 3 ) - ( x + 2 ) ( x - 1 )$$

Evaluate

$$2-4x$$

Solution Steps

Use the distributive property to multiply x by x-3.

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

Apply the distributive property by multiplying each term of x+2 by each term of x-1.

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

Combine -x and 2x to get x.

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

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

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

The opposite of -2 is 2.

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

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

$$-3x-x+2$$

Combine -3x and -x to get -4x.

$$-4x+2$$

Expand

$$2-4x$$

Solution Steps

Use the distributive property to multiply x by x-3.

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

Apply the distributive property by multiplying each term of x+2 by each term of x-1.

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

Combine -x and 2x to get x.

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

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

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

The opposite of -2 is 2.

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

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

$$-3x-x+2$$

Combine -3x and -x to get -4x.

$$-4x+2$$