SOLUTION: subtract as indicated express the results in simplest form 5a - 12/a^2 - 8a + 15 - 3a - 2/a^2 - 8a + 15

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Question 93406: subtract as indicated express the results in simplest form
5a - 12/a^2 - 8a + 15 - 3a - 2/a^2 - 8a + 15

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
subtract as indicated express the results in simplest form
5a - 12/a^2 - 8a + 15 - (3a - 2)/a^2 - 8a + 15
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The denominators are the same so subtract the numerators
and put the result over the common denominator:
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[5a-12-3a+2] / [a^2=8a+15]
= [2a-10] / [(a-5)(a-3)]
= [2(a-5)]/[(a_5)(a-3)]
= 2/(a-3)
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Cheers,
Stan H.

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