SOLUTION: i'm having trouble with this problem {{{x-2 over x^2-2x-15 - x+2 over x^2-x-20}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i'm having trouble with this problem {{{x-2 over x^2-2x-15 - x+2 over x^2-x-20}}}      Log On


   

Question 109561: i'm having trouble with this problem x-2+over+x%5E2-2x-15++-+x%2B2+over+x%5E2-x-20
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(x-2)/( x^2-2x-15) - (x+2) / (x^2-x-20)
=(x-2)/[(x-5)(x+3)] - (x+2)/[(x-5)(x+4)]
LCD = (x-5)(x+3)(x+4)
= [(x-2)(x+4)/LCD] - [(x+2)(x+3)/LCD]
= [x^2+2x-8 -(x^2+5x+6)]/LCD
= [-3x-14]/LCD
= -(3x+14)/[(x-5)(x+3)(x+4)]
========================
Cheers,
Stan H.