Pre-Algebra Examples

$\frac{8 w - 56}{7 - w}$

Step 1

Factor $8$ out of $8 w - 56$ .

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Step 1.1

Factor $8$ out of $8 w$ .

$\frac{8 (w) - 56}{7 - w}$

Step 1.2

Factor $8$ out of $- 56$ .

$\frac{8 w + 8 \cdot - 7}{7 - w}$

Step 1.3

Factor $8$ out of $8 w + 8 \cdot - 7$ .

$\frac{8 (w - 7)}{7 - w}$

$\frac{8 (w - 7)}{7 - w}$

Step 2

Cancel the common factor of $w - 7$ and $7 - w$ .

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Step 2.1

Factor $- 1$ out of $w$ .

$\frac{8 (- 1 (- w) - 7)}{7 - w}$

Step 2.2

Rewrite $- 7$ as $- 1 (7)$ .

$\frac{8 (- 1 (- w) - 1 (7))}{7 - w}$

Step 2.3

Factor $- 1$ out of $- 1 (- w) - 1 (7)$ .

$\frac{8 (- 1 (- w + 7))}{7 - w}$

Step 2.4

Reorder terms.

$\frac{8 (- 1 (- w + 7))}{- w + 7}$

Step 2.5

Cancel the common factor.

$\frac{8 (- 1 (- w + 7))}{- w + 7}$

Step 2.6

Divide $8 \cdot (- 1)$ by $1$ .

$8 \cdot (- 1)$

$8 \cdot (- 1)$

Step 3

Multiply $8$ by $- 1$ .

$- 8$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$