Basic Math Examples

$- 2 w - 2 (6 - 6 w) - 4$

Step 1

Factor $- 2$ out of $- 2 w - 2 (6 - 6 w) - 4$ .

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Step 1.1

Reorder $6$ and $- 6 w$ .

$- 2 w - 2 (- 6 w + 6) - 4$

Step 1.2

Factor $- 2$ out of $- 2 w$ .

$- 2 (w) - 2 (- 6 w + 6) - 4$

Step 1.3

Factor $- 2$ out of $- 4$ .

$- 2 (w) - 2 (- 6 w + 6) - 2 (2)$

Step 1.4

Factor $- 2$ out of $- 2 (w) - 2 (- 6 w + 6)$ .

$- 2 (w - 6 w + 6) - 2 (2)$

Step 1.5

Factor $- 2$ out of $- 2 (w - 6 w + 6) - 2 (2)$ .

$- 2 (w - 6 w + 6 + 2)$

$- 2 (w - 6 w + 6 + 2)$

Step 2

Subtract $6 w$ from $w$ .

$- 2 (- 5 w + 6 + 2)$

Step 3

Add $6$ and $2$ .

$- 2 (- 5 w + 8)$

Step 4

Factor.

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Step 4.1

Factor $- 1$ out of $- 5 w + 8$ .

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Step 4.1.1

Factor $- 1$ out of $- 5 w$ .

$- 2 (- (5 w) + 8)$

Step 4.1.2

Rewrite $8$ as $- 1 (- 8)$ .

$- 2 (- (5 w) - 1 (- 8))$

Step 4.1.3

Factor $- 1$ out of $- (5 w) - 1 (- 8)$ .

$- 2 (- (5 w - 8))$

$- 2 (- (5 w - 8))$

Step 4.2

Remove unnecessary parentheses.

$- 2 \cdot - 1 (5 w - 8)$

$- 2 \cdot - 1 (5 w - 8)$

Step 5

Combine exponents.

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Step 5.1

Factor out negative.

$- (- 2 (5 w - 8))$

Step 5.2

Multiply $- 2$ by $- 1$ .

$2 (5 w - 8)$

$2 (5 w - 8)$

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