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

$$3 x ( - 1 ) ^ { 2 } x ( - 2 ) - 1 x ( - 2 ) ^ { 2 }$$

Evaluate

$$-2x\left(3x+2\right)$$

Solution Steps

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

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

Calculate -1 to the power of 2 and get 1.

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

Multiply 3 and 1 to get 3.

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

Multiply 3 and -2 to get -6.

$$-6x^{2}-1x\left(-2\right)^{2}$$

Calculate -2 to the power of 2 and get 4.

$$-6x^{2}-1x\times 4$$

Multiply 1 and 4 to get 4.

$$-6x^{2}-4x$$

Factor

$$-2x\left(3x+2\right)$$

Solution Steps

Factor out 2.

$$2\left(-3xx-2x\right)$$

Consider -3x^{2}-2x. Factor out x.

$$x\left(-3x-2\right)$$

Rewrite the complete factored expression.

$$2x\left(-3x-2\right)$$