Question 40910: simplify:
6 over 2x-12 minus 20 over x^2-4x-12
Please explain in detail so I understand Thanks. Found 2 solutions by Nate, stanbon:Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website! 6/(2x-12) - 20/(x^2-4x-12)
Factor where you can, as follows:
3/(x-6) 20/[(x-6)(x+2)]
The least common denominators is (x-6)(x+2)
Rewrite eqch fraction with the LCD as its denominator, as follows:
3(x+2)/LCD - 20/LCD
Since both fractions now have the same denominator
you can subtract, as follows:
[3x+6-20]/LCD
And finally you get the result:
[3x-14]/[(x-6)(x+2)]
Cheers,
Stan H.
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