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ash2326Best ResponseYou've already chosen the best response.0
we have \[\frac{4x^27x+3}{x^25x+6}\] let's divide (x^25x+6)*4=4x^220x+24 rewriting the numerator as 4x^27x+6=(4x^220x+24)+13x18 so we have now \[\frac{(4x^220x+24)+13x18 }{x^25x+6}\] if we simplify we get \[4+\frac{13x18 }{x^25x+6}\]
 2 years ago

wowbrianaBest ResponseYou've already chosen the best response.0
is there more simplifying? because thats not one of my options
 2 years ago

wowbrianaBest ResponseYou've already chosen the best response.0
i wrote the question wrong, the denomenator is supposed to be x^2+5x6
 2 years ago

ash2326Best ResponseYou've already chosen the best response.0
then 4(x^2+5x6)=4x^2+20x24 so 4x^27x+3=(4x^2+20x24)27x+27 so we get \[4+\frac{27x+27}{x^2+5x6}\]
 2 years ago

rivermakerBest ResponseYou've already chosen the best response.1
\[x^2 + 5x  6 = (x1)(x+6)\] \[4x^27x+3 = 4x^24x3x+3=4x(x1)3(x1)=(4x3)(x1)\] So cancelling (x1) you can see the answer
 2 years ago

rivermakerBest ResponseYou've already chosen the best response.1
\[\frac{4x3}{x+6}\]
 2 years ago
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