Basic Math Examples

$\frac{14 u - 42 v}{- 7}$

Step 1

Cancel the common factor of $14 u - 42 v$ and $- 7$ .

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Step 1.1

Factor $7$ out of $14 u$ .

$\frac{7 (2 u) - 42 v}{- 7}$

Step 1.2

Factor $7$ out of $- 42 v$ .

$\frac{7 (2 u) + 7 (- 6 v)}{- 7}$

Step 1.3

Factor $7$ out of $7 (2 u) + 7 (- 6 v)$ .

$\frac{7 (2 u - 6 v)}{- 7}$

Step 1.4

Move the negative one from the denominator of $\frac{2 u - 6 v}{- 1}$ .

$- 1 \cdot (2 u - 6 v)$

Step 2

Rewrite $- 1 \cdot (2 u - 6 v)$ as $- (2 u - 6 v)$ .

$- (2 u - 6 v)$

Step 3

Apply the distributive property.

$- (2 u) - (- 6 v)$

Step 4

Multiply.

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Step 4.1

Multiply $2$ by $- 1$ .

$- 2 u - (- 6 v)$

Step 4.2

Multiply $- 6$ by $- 1$ .

$- 2 u + 6 v$