Pre-Algebra Examples

\frac{3 x^{2}}{x + 5} + \frac{15 x}{x + 5}

$\frac{3 x^{2}}{x + 5} + \frac{15 x}{x + 5}$

Step 1

Combine the numerators over the common denominator.

\frac{3 x^{2} + 15 x}{x + 5}

$\frac{3 x^{2} + 15 x}{x + 5}$

Step 2

Factor

3 x

$3 x$ out of

3 x^{2} + 15 x

$3 x^{2} + 15 x$ .

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Step 2.1

Factor

3 x

$3 x$ out of

3 x^{2}

$3 x^{2}$ .

\frac{3 x (x) + 15 x}{x + 5}

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

Step 2.2

Factor

3 x

$3 x$ out of

15 x

$15 x$ .

\frac{3 x (x) + 3 x (5)}{x + 5}

$\frac{3 x (x) + 3 x (5)}{x + 5}$

Step 2.3

Factor

3 x

$3 x$ out of

3 x (x) + 3 x (5)

$3 x (x) + 3 x (5)$ .

\frac{3 x (x + 5)}{x + 5}

$\frac{3 x (x + 5)}{x + 5}$

\frac{3 x (x + 5)}{x + 5}

$\frac{3 x (x + 5)}{x + 5}$

Step 3

Cancel the common factor of

x + 5

$x + 5$ .

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Step 3.1

Cancel the common factor.

\frac{3 x (x + 5)}{x + 5}

$\frac{3 x (x + 5)}{x + 5}$

Step 3.2

Divide

3 x

$3 x$ by

1

$1$ .

3 x

$3 x$

3 x

$3 x$