SOLUTION: Please simplify the expression if possible: x^3 - x^2 - 12x / x^3 - 9x

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Question 723990: Please simplify the expression if possible: x^3 - x^2 - 12x / x^3 - 9x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

+%28x%5E3+-+x%5E2+-+12x%29+%2F+%28x%5E3+-+9x%29
+x%28x%5E2+-+x+-+12%29+%2F+x%28x%5E2+-+9%29
+cross%28x%29%28x%5E2+-+x+-+12%29+%2Fcross%28+x%29%28x%5E2+-+9%29

now factor +%28x%5E2+-+x+-+12%29...replace -x with 3x-4x
%28x%5E2%2B3x-4x-12%29...group
%28%28x%5E2%2B3x%29-%284x%2B12%29%29
%28x%28x%2B3%29-4%28x%2B3%29%29
%28x-4%29%28x%2B3%29
and
write %28x%5E2+-+9%29 as %28x+-+3%29%28x%2B3%29

plug both in your expression

+%28%28x-4%29%28x%2B3%29%29+%2F+%28%28x+-+3%29%28x%2B3%29%29

+%28%28x-4%29cross%28%28x%2B3%29%29%29+%2F+%28%28x+-+3%29cross%28%28x%2B3%29%29%29

+%28x-4%29+%2F+%28x+-+3%29