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OpenStudy (calculusxy):
Simplify and find the excluded values of the rational expression... MEDAL!
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OpenStudy (calculusxy):
\[\large \frac{6}{4n} - \frac{3}{15n^2 + 12n}\]
OpenStudy (calculusxy):
Do you think that I can simply both of the fractions?
OpenStudy (calculusxy):
n \(\neq\) 0
OpenStudy (sweetburger):
Rip my english. You could go for a common denominator. First simplify as much as you can though.
OpenStudy (sweetburger):
And yes very good.
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OpenStudy (calculusxy):
OK.
OpenStudy (calculusxy):
@sweetburger
OpenStudy (katara11111):
Make a common denominator
OpenStudy (s4sensitiveandshy):
you can simplify the fractions first and then common denominator \[ \frac{ 6 }{ 4n }=\frac{3}{2n}\] same with other fraction
OpenStudy (calculusxy):
i got:
\[\frac{3}{2n} - \frac{1}{5n^3 + 4n}\]
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OpenStudy (katara11111):
Do you understand what a common denominator is?
OpenStudy (s4sensitiveandshy):
do you mean 5n^2 ?
OpenStudy (calculusxy):
oh yes! that's where i have been making my mistake!
OpenStudy (s4sensitiveandshy):
now you can find the common denominator
2nd) set it equal to 0
OpenStudy (calculusxy):
i got my answer:
\(\large \frac{5(3n+2)}{2n(5n+4)}\)
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OpenStudy (s4sensitiveandshy):
what is the common denominator ??
OpenStudy (calculusxy):
2n(5n^2 + 4n)
OpenStudy (calculusxy):
I actually got the answer. It matches with the answer key. thanks for ur help :)
OpenStudy (s4sensitiveandshy):
nice. that looks good
you need *excluded values* the value that makes the denominator equal to 0
so just set the denominator equal to 0
OpenStudy (s4sensitiveandshy):
np :)
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