Pre-Algebra Examples

$f (x) = \frac{5 x + 25}{3 x - 15}$

Step 1

Rewrite the function as an equation.

$y = \frac{5 x + 25}{3 x - 15}$

Step 2

Simplify $\frac{5 x + 25}{3 x - 15}$ .

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Step 2.1

Factor $5$ out of $5 x + 25$ .

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Step 2.1.1

Factor $5$ out of $5 x$ .

$y = \frac{5 (x) + 25}{3 x - 15}$

Step 2.1.2

Factor $5$ out of $25$ .

$y = \frac{5 x + 5 \cdot 5}{3 x - 15}$

Step 2.1.3

Factor $5$ out of $5 x + 5 \cdot 5$ .

$y = \frac{5 (x + 5)}{3 x - 15}$

$y = \frac{5 (x + 5)}{3 x - 15}$

Step 2.2

Factor $3$ out of $3 x - 15$ .

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Step 2.2.1

Factor $3$ out of $3 x$ .

$y = \frac{5 (x + 5)}{3 (x) - 15}$

Step 2.2.2

Factor $3$ out of $- 15$ .

$y = \frac{5 (x + 5)}{3 x + 3 \cdot - 5}$

Step 2.2.3

Factor $3$ out of $3 x + 3 \cdot - 5$ .

$y = \frac{5 (x + 5)}{3 (x - 5)}$

$y = \frac{5 (x + 5)}{3 (x - 5)}$

$y = \frac{5 (x + 5)}{3 (x - 5)}$

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