Basic Math Examples

$\frac{1}{3} \cdot (6 b - 15 a) - \frac{1}{4} \cdot (16 a - 8 b)$

Step 1

Factor $\frac{1}{12}$ out of each term.

$\frac{1}{12} (24 b - 60 a - 48 a + 24 b)$

Step 2

Add $24 b$ and $24 b$ .

$\frac{1}{12} \cdot (- 60 a - 48 a + 48 b)$

Step 3

Subtract $48 a$ from $- 60 a$ .

$\frac{1}{12} \cdot (- 108 a + 48 b)$

Step 4

Factor.

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Step 4.1

Factor $- 12$ out of $- 108 a + 48 b$ .

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Step 4.1.1

Factor $- 12$ out of $- 108 a$ .

$\frac{1}{12} \cdot (- 12 (9 a) + 48 b)$

Step 4.1.2

Factor $- 12$ out of $48 b$ .

$\frac{1}{12} \cdot (- 12 (9 a) - 12 (- 4 b))$

Step 4.1.3

Factor $- 12$ out of $- 12 (9 a) - 12 (- 4 b)$ .

$\frac{1}{12} \cdot (- 12 (9 a - 4 b))$

$\frac{1}{12} \cdot (- 12 (9 a - 4 b))$

Step 4.2

Remove unnecessary parentheses.

$\frac{1}{12} \cdot - 12 (9 a - 4 b)$

$\frac{1}{12} \cdot - 12 (9 a - 4 b)$

Step 5

Combine $\frac{1}{12}$ and $- 12$ .

$\frac{- 12}{12} (9 a - 4 b)$

Step 6

Divide $- 12$ by $12$ .

$- 1 \cdot (9 a - 4 b)$

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