Algebra Examples

$- \frac{1}{3} (7 x - \frac{x^{2}}{2})$

Step 1

Apply the distributive property.

$- \frac{1}{3} (7 x) - \frac{1}{3} (- \frac{x^{2}}{2})$

Step 2

Multiply $- \frac{1}{3} (7 x)$ .

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Step 2.1

Multiply $7$ by $- 1$ .

$- 7 (\frac{1}{3}) x - \frac{1}{3} (- \frac{x^{2}}{2})$

Step 2.2

Combine $- 7$ and $\frac{1}{3}$ .

$\frac{- 7}{3} x - \frac{1}{3} (- \frac{x^{2}}{2})$

Step 2.3

Combine $\frac{- 7}{3}$ and $x$ .

$\frac{- 7 x}{3} - \frac{1}{3} (- \frac{x^{2}}{2})$

Step 3

Multiply $- \frac{1}{3} (- \frac{x^{2}}{2})$ .

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Step 3.1

Multiply $- 1$ by $- 1$ .

$\frac{- 7 x}{3} + 1 (\frac{1}{3}) \frac{x^{2}}{2}$

Step 3.2

Multiply $\frac{1}{3}$ by $1$ .

$\frac{- 7 x}{3} + \frac{1}{3} \cdot \frac{x^{2}}{2}$

Step 3.3

Multiply $\frac{1}{3}$ by $\frac{x^{2}}{2}$ .

$\frac{- 7 x}{3} + \frac{x^{2}}{3 \cdot 2}$

Step 3.4

Multiply $3$ by $2$ .

$\frac{- 7 x}{3} + \frac{x^{2}}{6}$

Step 4

Move the negative in front of the fraction.

$- \frac{7 x}{3} + \frac{x^{2}}{6}$