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What is the simplified form of x-5/x^2-3x-10*x+2/x^2+x-12

2 Answers

5 votes
Collect like terms
(X-3x-10x+x) + (-5/x^2+2/x^2)-12

Then simplify
-11x-3/x^2-12

Let me know if that helped thanks
User Moonfly
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I assume you mean this, even though what you wrote means something else because you did not use parentheses.


(x-5)/(x^2 - 3x - 10) * (x + 2)/(x^2 + x - 12) =

Factor each factorable polynomial.


=(x-5)/((x - 5)(x + 2)) * (x + 2)/((x + 4)(x - 3))

Now divide the numerator and denominator by the equal terms to reduce the fraction. This is what is normally called canceling factors.


=(1)/(1) * (1)/((x + 4)(x - 3))


=(1)/((x + 4)(x - 3))
User Parvind
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