# How do you simplify and find the excluded values for (2a^2+10a)/(3a^2+15a)?

Sep 13, 2015

Expression simplifies to $\frac{2}{3} \mathmr{and} a \ne 0 \mathmr{and} a \ne - 5$

#### Explanation:

Factorize top and bottom by taking out a common factor to obtain

(2a(a+5))/(3a(a+5)

We now cancel to yield $\frac{2}{3}$

Now the excluded values, also called the restrictions, are values that would make the denominator equal to zero as this would be undefined.
These values would be $a = 0 \mathmr{and} a = - 5$