Precalculus Examples

$\frac{- \sqrt{2}}{2} \cdot \frac{- 2}{- \sqrt{2}}$

Step 1

Cancel the common factor of $\sqrt{2}$ .

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Step 1.1

Factor $\sqrt{2}$ out of $- \sqrt{2}$ .

$\frac{\sqrt{2} \cdot - 1}{2} \cdot \frac{- 2}{- \sqrt{2}}$

Step 1.2

Factor $\sqrt{2}$ out of $- \sqrt{2}$ .

$\frac{\sqrt{2} \cdot - 1}{2} \cdot \frac{- 2}{\sqrt{2} \cdot - 1}$

Step 1.3

Cancel the common factor.

$\frac{\sqrt{2} \cdot - 1}{2} \cdot \frac{- 2}{\sqrt{2} \cdot - 1}$

Step 1.4

Rewrite the expression.

$\frac{- 1}{2} \cdot \frac{- 2}{- 1}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $- 2$ .

$\frac{- 1}{2} \cdot \frac{2 (- 1)}{- 1}$

Step 2.2

Cancel the common factor.

$\frac{- 1}{2} \cdot \frac{2 \cdot - 1}{- 1}$

Step 2.3

Rewrite the expression.

$- 1 \cdot \frac{- 1}{- 1}$

Step 3

Cancel the common factor.

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Step 3.1

Dividing two negative values results in a positive value.

$- 1 \cdot \frac{1}{1}$

Step 3.2

Cancel the common factor of $1$ .

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Step 3.2.1

Cancel the common factor.

$- 1 \cdot \frac{1}{1}$

Step 3.2.2

Rewrite the expression.

$- 1 \cdot 1$

Step 4

Multiply $- 1$ by $1$ .

$- 1$