How do you combine #(4-3x)/ (16-x^2) + 3/( x-4)#?
You need to find the lowest common denominator among these two functions. We can try to factor the first function's denominator in order to ease things for us, as shown:
However, the factors
We just need to multiply it by
So, we can rewrite the whole sum as
Now, our lowest common denominator is
Distributing our factors in the denominator, we have the shortest answer as follows: