reduce to lowest terms: (2x^3-6x^2-20x)(25-x^2)^-1
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OpenStudy (lgbasallote):
change to \[\Large \frac{2x^3 - 6x^2 - 20x}{25 - x^2}\] then it gets easy :D
OpenStudy (earthcitizen):
\[(-4 x - 2 x^2)/(5 + x)\]
OpenStudy (lgbasallote):
@EarthCitizen you can still factor out 2x
OpenStudy (lgbasallote):
-2x*
OpenStudy (earthcitizen):
kk, ty
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OpenStudy (anonymous):
can you show me this step by step :/
OpenStudy (lgbasallote):
factor out 2x... \[\Large \frac{2x(x^2 - 3x - 10)}{25 - x^2}\] now factor out \(25 - x^2\) \[\Large \frac{2x(x^2 - 3x - 10)}{(5 - x)(5+x)}\] now factor out \(x^2 - 3x - 10\) \[\Large \frac{2x(x-5)(x+2)}{(5-x)(5+x)}\] now we factor out -1 from 5 - x \[\Large \frac{2x\cancel{(x-5)}(x+2)}{-\cancel{(x-5)}(5+x)}\]
OpenStudy (anonymous):
thank you :)...just to clarify would simplest terms be as written above with x-5 cancelled out
OpenStudy (lgbasallote):
simply \[\large \frac{-2x(x+2)}{x+5}\]
OpenStudy (anonymous):
thanks
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