Adding and Subtracting Rational Expressions SOS

bmw1

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Apr 9, 2014
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(7/x^2+x-12)+(3/x^2+16)

I know it factors to:

(7/(x+4)(x-3))+(3/(x+4)(x-4))
 
Last edited:
(7/x^2+x-12)+(3/x^2+16)

I know it factors to:

(7/(x+4)(x-3))+(3/(x+4)(x-4))

You wrote those fractions wrong, because you're missing grouping symbols around the denominators.

7/(x^2 + x - 12) + 3/(x^2 + 16)


But x^2 + 16 is prime, so check to see if it is supposed to be "x^2 - 16."

I suspect it is.


If that is the case, then you actually have:



7/(x^2 + x - 12) + 3/(x^2 - 16) =


7/[(x + 4)(x - 3)] \(\displaystyle \ \) + \(\displaystyle \ \) 3/[(x + 4)(x - 4)]
 
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