SOLUTION: 5 divided by x2 - 16 minus 3 divided by x2 - x - 12

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Question 85799This question is from textbook Beginning Algebra
: 5 divided by x2 - 16 minus 3 divided by x2 - x - 12 This question is from textbook Beginning Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5 / (x^2 - 16) - 3 / (x^2 - x - 12)
= 5 /[(x-4)(x+4)] - 3/[(x-4)(x+3)]
least common denominator is (x-4)(x+4)(x+3)
= 5(x+3)/lcm - 3(x+4)/lcm
= [5x+15-3x-12]/lcm
= [2x+3]/lcm
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Cheers,
Stan H.