How do you add #(x + 4)/(2x +6) +3/(x^2-9)#?
It's all about using factoring to "whittle down" these guys.
First, 2x + 6 is 2 times x + 3.
The common denominator is 2(x+3)(x-3)
This might be the final answer, but we need to check for any common factors in the numerator and denominator.
As with simple fractions, the first step is to create a common denominator.
the obvious choice for a common denominator is
and our addition becomes