Basic Math Examples

$\frac{- 2}{5} \cdot (10 a + 20 b)$

Step 1

Move the negative in front of the fraction.

$- \frac{2}{5} \cdot (10 a + 20 b)$

Step 2

Factor.

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Step 2.1

Factor $10$ out of $10 a + 20 b$ .

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Step 2.1.1

Factor $10$ out of $10 a$ .

$- \frac{2}{5} \cdot (10 (a) + 20 b)$

Step 2.1.2

Factor $10$ out of $20 b$ .

$- \frac{2}{5} \cdot (10 (a) + 10 (2 b))$

Step 2.1.3

Factor $10$ out of $10 (a) + 10 (2 b)$ .

$- \frac{2}{5} \cdot (10 (a + 2 b))$

$- \frac{2}{5} \cdot (10 (a + 2 b))$

Step 2.2

Remove unnecessary parentheses.

$- \frac{2}{5} \cdot 10 (a + 2 b)$

$- \frac{2}{5} \cdot 10 (a + 2 b)$

Step 3

Combine exponents.

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Step 3.1

Multiply $10$ by $- 1$ .

$- 10 (\frac{2}{5}) (a + 2 b)$

Step 3.2

Combine $- 10$ and $\frac{2}{5}$ .

$\frac{- 10 \cdot 2}{5} (a + 2 b)$

Step 3.3

Multiply $- 10$ by $2$ .

$\frac{- 20}{5} (a + 2 b)$

$\frac{- 20}{5} (a + 2 b)$

Step 4

Divide $- 20$ by $5$ .

$- 4 \cdot (a + 2 b)$

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