SOLUTION: 4) [-2/(x^2 + 10x + 24)] - [4/(x + 4)] Subtraction and simplify

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Question 88248: 4) [-2/(x^2 + 10x + 24)] - [4/(x + 4)]
Subtraction and simplify

Answer by tutor_paul(490) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28-2%29%2F%28x%5E2%2B10x%2B24%29%29-%284%2F%28x%2B4%29%29
First step is to factor the denominator in the first term. This will simplify the
process of finding the LCD, which is necessary to perform the subtraction:
%28%28-2%29%2F%28x%2B4%29%28x%2B6%29%29-%284%2F%28x%2B4%29%29
Now I can see that my LCD is (x+4)(x+6), so let's rewrite the second term:
%28%28-2%29%2F%28x%2B4%29%28x%2B6%29%29-%284%28x%2B6%29%2F%28x%2B4%29%28x%2B6%29%29
Simplifying the 2nd term a little:
%28%28-2%29%2F%28x%2B4%29%28x%2B6%29%29-%28%284x%2B24%29%2F%28x%2B4%29%28x%2B6%29%29%29
Combine the terms:
%28-2-%284x%2B24%29%29%2F%28x%2B4%29%28x%2B6%29
%28-2-4x-24%29%2F%28x%2B4%29%28x%2B6%29
highlight%28%28-4x-26%29%2F%28x%2B4%29%28x%2B6%29%29
Good Luck,
tutor_paul@yahoo.com