SOLUTION: Can you help please help me? I need to find the difference in simplest form. ((5)/(x+5))) - ((2x+5)/(x^(2)+9x+20))) please help me!! thanks

Question 73003: Can you help please help me? I need to find the difference in simplest form.
((5)/(x+5))) - ((2x+5)/(x^(2)+9x+20)))
please help me!!
thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the difference in simplest form.
((5)/(x+5))) - ((2x+5)/(x^(2)+9x+20)))
Factor the 2nd denominator as: (x+4)(x+5)
Then the lcd (least common denominator is (x+4)(x+5)
Write each fraction with the lcd as its denominator:
[5(x+4)]/lcd - [(2x+5)]/lcd
Since the denominators are the same, combine the numerators to get:
[5x+20-2x-5]/lcd
(3x+15)/lcd
(3(x+5))/[(x+4)(x+5)]
Cancel the common factor of (x+5) to get:
3/(x+4)
================
Cheers,
Stan H.
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