Question

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

Answer 1

Expression simplifies to `2/3 and a!=0 and a!=-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 `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 and a=-5`