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

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

Evaluate

$$x-2$$

Solution Steps

Use the distributive property to multiply x by 1-2x.

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

Use the distributive property to multiply 2 by x+1.

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

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

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

Combine -2x and 2x to get 0.

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

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

$$x-2$$

Expand

$$x-2$$

Solution Steps

Use the distributive property to multiply x by 1-2x.

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

Use the distributive property to multiply 2 by x+1.

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

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

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

Combine -2x and 2x to get 0.

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

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

$$x-2$$