Basic Math Examples

$\frac{- 8 w^{2} + 32 w}{w - 4}$

Step 1

Factor $8 w$ out of $- 8 w^{2} + 32 w$ .

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Step 1.1

Factor $8 w$ out of $- 8 w^{2}$ .

$\frac{8 w (- w) + 32 w}{w - 4}$

Step 1.2

Factor $8 w$ out of $32 w$ .

$\frac{8 w (- w) + 8 w (4)}{w - 4}$

Step 1.3

Factor $8 w$ out of $8 w (- w) + 8 w (4)$ .

$\frac{8 w (- w + 4)}{w - 4}$

$\frac{8 w (- w + 4)}{w - 4}$

Step 2

Cancel the common factor of $- w + 4$ and $w - 4$ .

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Step 2.1

Factor $- 1$ out of $- w$ .

$\frac{8 w (- (w) + 4)}{w - 4}$

Step 2.2

Rewrite $4$ as $- 1 (- 4)$ .

$\frac{8 w (- (w) - 1 (- 4))}{w - 4}$

Step 2.3

Factor $- 1$ out of $- (w) - 1 (- 4)$ .

$\frac{8 w (- (w - 4))}{w - 4}$

Step 2.4

Rewrite $- (w - 4)$ as $- 1 (w - 4)$ .

$\frac{8 w (- 1 (w - 4))}{w - 4}$

Step 2.5

Cancel the common factor.

$\frac{8 w (- 1 (w - 4))}{w - 4}$

Step 2.6

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

$8 w \cdot (- 1)$

$8 w \cdot (- 1)$

Step 3

Multiply $- 1$ by $8$ .

$- 8 w$

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