Is this right? please help me!! thank you <333
Simplify:
40v^2 over 35v^4 + 20v^3 over 5v
my answer: 7v^4 over 2
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OpenStudy (anonymous):
\[\frac{\frac{40v^2}{35v^4 + 20v^3}}{ 5v}\]\
OpenStudy (anonymous):
or is it an addition?
jimthompson5910 (jim_thompson5910):
could it be that the problem is actually
\[\Large \frac{40v^2}{35v^4} + \frac{20v^3}{5v}\]
OpenStudy (anonymous):
yeah that is what i was wondering too
OpenStudy (anonymous):
you are correct, @jim_thompson5910
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jimthompson5910 (jim_thompson5910):
\[\Large \frac{40v^2}{35v^4} + \frac{20v^3}{5v}\]
\[\Large \frac{40v^2}{35v^4} + \frac{7v^3*20v^3}{7v^3*5v}\]
\[\Large \frac{40v^2}{35v^4} + \frac{140v^6}{35v^4}\]
see where to go from here?
OpenStudy (anonymous):
add both numirators?
jimthompson5910 (jim_thompson5910):
correct
then simplify as much as possible
OpenStudy (anonymous):
180
OpenStudy (anonymous):
7/32?
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jimthompson5910 (jim_thompson5910):
no you can't add 40v^2 to 140v^6 since they aren't like terms
so you just leave it as
\[\Large \frac{40v^2+140v^6}{35v^4}\]
but you can still simplify this
OpenStudy (anonymous):
32/7
jimthompson5910 (jim_thompson5910):
this is because
\[\Large \frac{40v^2+140v^6}{35v^4}\]
becomes
\[\Large \frac{20v^2(2+7v^4)}{35v^4}\]
and that simplifies even further