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

$$( x + 1 ) ( x - 2 ) + ( x + 2 ) ( x - 1 ) \quad$$

Evaluate

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

Solution Steps

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

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

Combine -2x and x to get -x.

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

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

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

Combine -x and 2x to get x.

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

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

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

Combine -x and x to get 0.

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

Subtract 2 from -2 to get -4.

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

Expand

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

Solution Steps

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

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

Combine -2x and x to get -x.

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

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

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

Combine -x and 2x to get x.

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

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

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

Combine -x and x to get 0.

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

Subtract 2 from -2 to get -4.

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