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Reduce the following rational expression to lowest terms, if possible. (Problem in comments)
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\[\frac{ 6a^3-13a^2+7a }{ 2a^3-5a+3a }\]
this doesnt look solvable lol
2 numbers with sum = -13 and product = 6*7 =42 are ?
6 & 7?
both negative :) -6, -7
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and -2 + -3 =5
-5
correct!
so how do we solve this? lol
factor the numerator \(a (6a^2-6a-7a+7) \\ a(...?...)\)
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a(6a-6-7...how would i factor the last 7, it doesn't have an a...
factor 'a' only from first 2 terms factor -7 from last 2 terms
factor 6a** from first 2 terms
ooooh ok
\(\large a(6a(a-1)-7(a-1))\) got that ?
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yes
factor out a-1 now
\(\large a(6a(a-1)-7(a-1)) \\ \large a(a-1)(6a-7)\) got that ^ can you do the same thing for denominator?
ill try lol
a(2a^2-2a-3a+3)?
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a(2(a-1)-3(a-1))
@ganeshie8
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