Algebra 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

Move the leading negative in $- \frac{2}{\sqrt{2}}$ into the numerator.

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

Step 1.2

Cancel the common factor.

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

Step 1.3

Rewrite the expression.

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $- 2$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$- 1$