SOLUTION: g^2 - g - 12/g^2 - 10g + 24 divided by g^2 - 9/g^2 - 7g + 6

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Question 156626: g^2 - g - 12/g^2 - 10g + 24 divided by g^2 - 9/g^2 - 7g + 6
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(g^2 - g - 12)/(g^2 - 10g + 24) / (g^2 - 9) / (g^2 - 7g + 6)
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Factor where you can to get;
[(g-4)(g+3)] / [(g-6)(g-4)] / [(g-3)(g+3)] / [(g-6)(g-1)]
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Invert the denominator and change to multiplication:
[(g-4)(g+3)] / [(g-6)(g-4)] * [(g-6)(g-1)][(g-3)(g+3)]
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Cancel factors that are common to a numerator and a denominator,
such as (g-4), (g-6), (g+3):
[1/1] / [1/1)] * [(g-1)][(g-3)]
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= (g-1)/(g-3)
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Cheers,
Stan H.