Solve (x-1)(3x+2)-3x(x+3)+10x

$$( x - 1 ) ( 3 x + 2 ) - 3 x ( x + 3 ) + 10 x$$

Evaluate

$$-2$$

Solution Steps

Apply the distributive property by multiplying each term of x-1 by each term of 3x+2.

$$3x^{2}+2x-3x-2-3x\left(x+3\right)+10x$$

Combine 2x and -3x to get -x.

$$3x^{2}-x-2-3x\left(x+3\right)+10x$$

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

$$3x^{2}-x-2-3x^{2}-9x+10x$$

Combine 3x^{2} and -3x^{2} to get 0.

$$-x-2-9x+10x$$

Combine -x and -9x to get -10x.

$$-10x-2+10x$$

Combine -10x and 10x to get 0.

$$-2$$

Factor

$$-2$$