Mathematics
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OpenStudy (anonymous):
MEDAL
I JUST NEED THE ANSWER
WILL POST QUESTION
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OpenStudy (anonymous):
OpenStudy (bibby):
division = multiplication by the reciprocal. start by flipping the right hand side
next, factor the stuff in parentheses
OpenStudy (anonymous):
so i flip the right side and it becomes multiplication then what?
OpenStudy (campbell_st):
factor both numerators and denominators
OpenStudy (bibby):
I didn't mean to distribute it just yet
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OpenStudy (anonymous):
dang it
OpenStudy (anonymous):
yeah i don't know how to factor it
OpenStudy (bibby):
btw the stuff in parentheses are m's not n's :p
OpenStudy (bibby):
\(\large \frac{5n^2\color{red}{(m^2+2m-3)}}{10n(m^2-3m+2))}\times\frac{4n^2(m^2-8m+12)}{n^2(m^2-3m-18)}\)
start with the red
OpenStudy (anonymous):
m?
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OpenStudy (anonymous):
I don't understand this problem at all this is the first time I've come across a problem like this
OpenStudy (bibby):
that's weird. so you can't factor \((m^2+2m-3)\)?
rewrite it as (m+?)(m-?)
Nnesha (nnesha):
find two number if you multiply them you should get -3 and if you add or subtract them you should get positive 2
OpenStudy (anonymous):
(m+3)(m-1)
Nnesha (nnesha):
that's right :)
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OpenStudy (anonymous):
ok thank you that helps, so after i factor it THEN i distribute?
Nnesha (nnesha):
if you distribute u gonna get same thing
OpenStudy (bibby):
nope. then you cancel what you can
OpenStudy (bibby):
distributing would make things very ugly. if you notice, they're not even the same letters
OpenStudy (anonymous):
ohhh i see
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Nnesha (nnesha):
yeah^
OpenStudy (anonymous):
ok hold on I will try factoring it
OpenStudy (anonymous):
\[\frac{ 5n^2(m+3)(m-2) }{ 10n(m-1)(m-2) } \times \frac{ 4n^2(m-2)(m-6) }{ n^2(m+3)(m-6) }\]
OpenStudy (anonymous):
i could cancel out the (m-2) and the (m-6) right?
OpenStudy (anonymous):
wait nope i copied it down wrong
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OpenStudy (anonymous):
should be (m-1)
Nnesha (nnesha):
yes left side top part its ( m -1) not (m -2)
OpenStudy (anonymous):
yeah i know i just typed it out wrong i have it the right way on my paper
OpenStudy (bibby):
also the m+3s
OpenStudy (bibby):
\(\large \frac{ 5n^2\cancel{(m+3)}\cancel{(m-1)} }{ 10n\cancel{(m-1)}(m-2) } \times \frac{ 4n^2(m-2)\cancel{(m-6)} }{ n^2\cancel{(m+3)}\cancel{(m-6)} }\)
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Nnesha (nnesha):
hmmmmmmmm
OpenStudy (bibby):
wait is the top right, correctly factored
OpenStudy (anonymous):
it should be..
Nnesha (nnesha):
yes right -6 times -2 = 12
and -2 =-8
yeah looks good
OpenStudy (bibby):
oh, I was looking at the original division thing
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OpenStudy (bibby):
forgot we flipped it
OpenStudy (anonymous):
so am I left with ? \[\frac{ 5n^2 }{ 10n } \times \frac{ 4n^2 }{ n^2 }\]
OpenStudy (bibby):
yeah. you can cancel an n^2 and simplify 5/10
OpenStudy (anonymous):
whoops
OpenStudy (anonymous):
\[\frac{ 2n^2 }{ 5n } \times 4\]
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OpenStudy (bibby):
5/10=1/2
OpenStudy (anonymous):
oh yeah whoops haha thats basic math
OpenStudy (anonymous):
i am ashamed
OpenStudy (anonymous):
so is 2n my answer?
OpenStudy (bibby):
|dw:1422083833490:dw|
yeah