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

$$- \frac{ 1 }{ 3 } \times (x-1) \times (x+3)$$

Evaluate

$$-\frac{\left(x-1\right)\left(x+3\right)}{3}$$

Solution Steps

Use the distributive property to multiply -\frac{1}{3} by x-1.

$$\left(-\frac{1}{3}x-\frac{1}{3}\left(-1\right)\right)\left(x+3\right)$$

Multiply -\frac{1}{3} and -1 to get \frac{1}{3}.

$$\left(-\frac{1}{3}x+\frac{1}{3}\right)\left(x+3\right)$$

Apply the distributive property by multiplying each term of -\frac{1}{3}x+\frac{1}{3} by each term of x+3.

$$-\frac{1}{3}xx-\frac{1}{3}x\times 3+\frac{1}{3}x+\frac{1}{3}\times 3$$

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

$$-\frac{1}{3}x^{2}-\frac{1}{3}x\times 3+\frac{1}{3}x+\frac{1}{3}\times 3$$

Cancel out 3 and 3.

$$-\frac{1}{3}x^{2}-x+\frac{1}{3}x+\frac{1}{3}\times 3$$

Combine -x and \frac{1}{3}x to get -\frac{2}{3}x.

$$-\frac{1}{3}x^{2}-\frac{2}{3}x+\frac{1}{3}\times 3$$

Cancel out 3 and 3.

$$-\frac{1}{3}x^{2}-\frac{2}{3}x+1$$

Expand

$$-\frac{x^{2}}{3}-\frac{2x}{3}+1$$

Solution Steps

Use the distributive property to multiply -\frac{1}{3} by x-1.

$$\left(-\frac{1}{3}x-\frac{1}{3}\left(-1\right)\right)\left(x+3\right)$$

Multiply -\frac{1}{3} and -1 to get \frac{1}{3}.

$$\left(-\frac{1}{3}x+\frac{1}{3}\right)\left(x+3\right)$$

Apply the distributive property by multiplying each term of -\frac{1}{3}x+\frac{1}{3} by each term of x+3.

$$-\frac{1}{3}xx-\frac{1}{3}x\times 3+\frac{1}{3}x+\frac{1}{3}\times 3$$

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

$$-\frac{1}{3}x^{2}-\frac{1}{3}x\times 3+\frac{1}{3}x+\frac{1}{3}\times 3$$

Cancel out 3 and 3.

$$-\frac{1}{3}x^{2}-x+\frac{1}{3}x+\frac{1}{3}\times 3$$

Combine -x and \frac{1}{3}x to get -\frac{2}{3}x.

$$-\frac{1}{3}x^{2}-\frac{2}{3}x+\frac{1}{3}\times 3$$

Cancel out 3 and 3.

$$-\frac{1}{3}x^{2}-\frac{2}{3}x+1$$