Simplify (3x^2)/(x+5)+(15x)/(x+5)

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

Factor $3 x$ out of $3 x^{2} + 15 x$ .

Factor $3 x$ out of $3 x^{2}$ .

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

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

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

Factor $3 x$ out of $3 x (x) + 3 x (5)$ .

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

Step 3

Cancel the common factor of $x + 5$ .

Cancel the common factor.

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

Divide $3 x$ by $1$ .

$3 x$