Precalculus Examples

$- \frac{5}{2} \cdot (2 x - 4 y)$

Step 1

Apply the distributive property.

$- \frac{5}{2} (2 x) - \frac{5}{2} (- 4 y)$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$\frac{- 5}{2} (2 x) - \frac{5}{2} (- 4 y)$

Step 2.2

Factor $2$ out of $2 x$ .

$\frac{- 5}{2} (2 (x)) - \frac{5}{2} (- 4 y)$

Step 2.3

Cancel the common factor.

$\frac{- 5}{2} (2 x) - \frac{5}{2} (- 4 y)$

Step 2.4

Rewrite the expression.

$- 5 x - \frac{5}{2} (- 4 y)$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$- 5 x + \frac{- 5}{2} (- 4 y)$

Step 3.2

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

$- 5 x + \frac{- 5}{2} (2 (- 2 y))$

Step 3.3

Cancel the common factor.

$- 5 x + \frac{- 5}{2} (2 (- 2 y))$

Step 3.4

Rewrite the expression.

$- 5 x - 5 (- 2 y)$

Step 4

Multiply $- 2$ by $- 5$ .

$- 5 x + 10 y$