Question

Add: (x+20)/(x^2-16)+3/(4-x)

Answer 1

You need to find a common denominator for the addition.
The first step is to factorise x^2-16. Can you do that?

Answer 2

meaning I would need to multiply (4-x) by (-x-4)?

Answer 3

or divide by (-x-4)?

Answer 4

You first factors will do nicely! So we get:
\[\frac{x+20}{(x-4)(-x-4)}+\frac{3}{4-x}\]\
So you can see that the denominator of the first term can be the common denominator for the addition. Can you do the rest now?

Answer 5

Okay so the numerator would be (x+23), right?

Answer 6

No. The numerator will be x + 20 -3(-x - 4)