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OpenStudy (anonymous):
Are the complex fractions x^2 - x- 20 / 4 / x-5/ 1- and 10/4/x-5/x^2 - x -20 equivalent???? how do i simplify each?
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OpenStudy (anonymous):
there is something funny here. what is the 1- hanging out at the end?
OpenStudy (anonymous):
oh sorry! I mean 10
OpenStudy (anonymous):
oh ok
OpenStudy (anonymous):
\[\frac{\frac{x^2-x-20}{4}}{\frac{x-5}{10}}\]
like this one?
OpenStudy (anonymous):
no the x-1 is x-5
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OpenStudy (anonymous):
oh sorry, i thought it said x-1
OpenStudy (anonymous):
and then divided by the other fraction
OpenStudy (anonymous):
ok so first we write
\[\frac{x^2-x-20}{4}\times \frac{10}{x-5}\]
then
\[\frac{(x-5)(x+4)}{4}\times \frac{10}{x-5}\]
then
\[\frac{5(x+4)}{2}\]
OpenStudy (anonymous):
Okay :) and then what about teh next fraction?
OpenStudy (anonymous):
that one is
\[\frac{10}{4}\times \frac{x^2-x-20}{x+5}\] so i guess they are identical.
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OpenStudy (anonymous):
okay! wow, thaank you sooooo much satellite :D you're the best.
OpenStudy (anonymous):
Sorry, can you just explain why they are?
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