Mathematics
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OpenStudy (anonymous):
So, I have 3 equations that I need to find the greatest common monomial... Could I get some help?
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RhondaSommer (rhondasommer):
yep
OpenStudy (anonymous):
\[6m ^{3}x ^{4}+30m ^{5} y ^{2}+45m ^{3} x ^{6} y ^{2}\]
OpenStudy (anonymous):
That's the first one.
RhondaSommer (rhondasommer):
\[3m^3\left(15x^6y^2+10m^2y^2+2x^4\right)\]
RhondaSommer (rhondasommer):
would yo like my steps?
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OpenStudy (anonymous):
That would be awesome!
RhondaSommer (rhondasommer):
when i look at you orgigional equation, I understand that they can all be divided out by 3
RhondaSommer (rhondasommer):
so writing it all out
RhondaSommer (rhondasommer):
is simple
RhondaSommer (rhondasommer):
\[6m^3x^4+30m^5y^2+45m^3x^6y^2\]
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RhondaSommer (rhondasommer):
3*2*m*m*m*x*x*x*x
RhondaSommer (rhondasommer):
3*2*5*m*m*m*m*m*y*y
RhondaSommer (rhondasommer):
3*3*3*m*m*m*x*x*x*x*x*x*y*y
RhondaSommer (rhondasommer):
in each on the is \[3 m^3\]
RhondaSommer (rhondasommer):
and the rest you put in parenthesis :)
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RhondaSommer (rhondasommer):
does that make sense?
OpenStudy (anonymous):
Yes! Thank you so much. Do you have time for two more?
RhondaSommer (rhondasommer):
yeah!
RhondaSommer (rhondasommer):
tyoe it in another equation so i dont have to scroll so much pls
RhondaSommer (rhondasommer):
question*
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OpenStudy (anonymous):
\[14x ^{3}y ^{5}z ^{2}-98x ^{2}yz ^{2}+28x ^{2}y ^{2}\]
RhondaSommer (rhondasommer):
\[14x^2y\left(xy^4z^2+2y-7z^2\right)\]
RhondaSommer (rhondasommer):
do you need the steps again?
OpenStudy (anonymous):
No. I got that down. Thanks. One more?
OpenStudy (anonymous):
\[10a ^{3}b ^{6}c ^{5}+20a ^{2}b ^{3}-24b ^{2}c ^{3}\]
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RhondaSommer (rhondasommer):
\[\quad 2b^2\left(5a^3b^4c^5+10a^2b-12c^3\right)\]
OpenStudy (anonymous):
Oh my god. I love you so much. You're a lifesaver! Thank you so much!
RhondaSommer (rhondasommer):
your welcome :)