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

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

Evaluate

$$\left(1-x\right)\left(3x+8\right)$$

Solution Steps

Multiply -1 and 3 to get -3.

$$x-1-3\left(x-1\right)\left(x+3\right)$$

Use the distributive property to multiply -3 by x-1.

$$x-1+\left(-3x+3\right)\left(x+3\right)$$

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

$$x-1-3x^{2}-9x+3x+9$$

Combine -9x and 3x to get -6x.

$$x-1-3x^{2}-6x+9$$

Combine x and -6x to get -5x.

$$-5x-1-3x^{2}+9$$

Add -1 and 9 to get 8.

$$-5x+8-3x^{2}$$

Expand

$$8-5x-3x^{2}$$

Solution Steps

Multiply -1 and 3 to get -3.

$$x-1-3\left(x-1\right)\left(x+3\right)$$

Use the distributive property to multiply -3 by x-1.

$$x-1+\left(-3x+3\right)\left(x+3\right)$$

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

$$x-1-3x^{2}-9x+3x+9$$

Combine -9x and 3x to get -6x.

$$x-1-3x^{2}-6x+9$$

Combine x and -6x to get -5x.

$$-5x-1-3x^{2}+9$$

Add -1 and 9 to get 8.

$$-5x+8-3x^{2}$$