Simplify (6a^2)/(15a+10)+5/(15a+10)

$\frac{6 a^{2}}{15 a + 10} + \frac{5}{15 a + 10}$

Step 1

Combine the numerators over the common denominator.

$\frac{6 a^{2} + 5}{15 a + 10}$

Step 2

Factor $5$ out of $15 a + 10$ .

Factor $5$ out of $15 a$ .

$\frac{6 a^{2} + 5}{5 (3 a) + 10}$

Factor $5$ out of $10$ .

$\frac{6 a^{2} + 5}{5 (3 a) + 5 (2)}$

Factor $5$ out of $5 (3 a) + 5 (2)$ .

$\frac{6 a^{2} + 5}{5 (3 a + 2)}$