Finite Math Examples

$\frac{2}{3} \cdot (12 x - 18 y) - \frac{3}{4} \cdot (16 x + 24 y)$

Step 1

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

$\frac{1}{12} (96 x - 144 y - 144 x - 216 y)$

Step 2

Subtract $144 x$ from $96 x$ .

$\frac{1}{12} \cdot (- 48 x - 144 y - 216 y)$

Step 3

Subtract $216 y$ from $- 144 y$ .

$\frac{1}{12} \cdot (- 48 x - 360 y)$

Step 4

Factor.

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Step 4.1

Factor $- 24$ out of $- 48 x - 360 y$ .

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Step 4.1.1

Factor $- 24$ out of $- 48 x$ .

$\frac{1}{12} \cdot (- 24 (2 x) - 360 y)$

Step 4.1.2

Factor $- 24$ out of $- 360 y$ .

$\frac{1}{12} \cdot (- 24 (2 x) - 24 (15 y))$

Step 4.1.3

Factor $- 24$ out of $- 24 (2 x) - 24 (15 y)$ .

$\frac{1}{12} \cdot (- 24 (2 x + 15 y))$

$\frac{1}{12} \cdot (- 24 (2 x + 15 y))$

Step 4.2

Remove unnecessary parentheses.

$\frac{1}{12} \cdot - 24 (2 x + 15 y)$

$\frac{1}{12} \cdot - 24 (2 x + 15 y)$

Step 5

Combine $\frac{1}{12}$ and $- 24$ .

$\frac{- 24}{12} (2 x + 15 y)$

Step 6

Divide $- 24$ by $12$ .

$- 2 \cdot (2 x + 15 y)$

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