SOLUTION: What is the sum x+4/x2+6x+9 - 1/x2-9 i dont get it beacuse it says the sum but has a minus sign here are the options: A) x2-x-15 (x+3)^2(x-3 B) x2+x-15 (x+3)^2(x-3) C)

Question 473139: What is the sum x+4/x2+6x+9 - 1/x2-9 i dont get it beacuse it says the sum but has a minus sign here are the options:
A) x2-x-15
(x+3)^2(x-3
B) x2+x-15
(x+3)^2(x-3)
C) x2-15
(x+3)^2(x-3)
D) x2-15
(x-3)^2(x+3)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(x+4)/(x^2+6x+9) - 1/(x^2-9) i dont get it because it says the sum but has a minus sign here are the options:
----------------
(x+4)/(x+3)^2 - 1/[(x-3)(x+3)]
---
least common denominator: (x-3)(x+3)^2
---
Rewrite each fraction with the lcd as its denominator:
---
[(x+4)(x-3)]/lcd - (x+3)/lcd
---
Combine the numerators over the lcd:
[x^2+x-12-x-3]/lcd
----
= [x^2-15]/[(x-3)(x+3)^2]
=========================
Cheers,
Stan H.
=============

A) x2-x-15
(x+3)^2(x-3
B) x2+x-15
(x+3)^2(x-3)
C) x2-15
(x+3)^2(x-3)
D) x2-15
(x-3)^2(x+3)

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