Mathematics
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OpenStudy (anonymous):
divide: 8xy^2-14y^2/2y explain.
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OpenStudy (anonymous):
@DanJS
OpenStudy (danjs):
ok
OpenStudy (anonymous):
so do i put the common numbers together first?
OpenStudy (anonymous):
like hold on let me try it
OpenStudy (danjs):
\[\frac{ 8*x*y^2 - 14*y }{ 2y }\]
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OpenStudy (danjs):
recall:
\[\frac{ 1 }{ x^a } = \frac{ x ^{-a} }{ 1 }\]
OpenStudy (mertsj):
\[\frac{8xy^2-14y^2}{2y}=\frac{8xy^2}{2y}-\frac{14y^2}{2y}\]
OpenStudy (anonymous):
-6xy^2/2y= -3xy????
OpenStudy (anonymous):
no lol i need to work for it or ill never learn
OpenStudy (mertsj):
Now reduce each fraction
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OpenStudy (anonymous):
so simplify each fraction???
OpenStudy (mertsj):
yes
OpenStudy (danjs):
\[\frac{ y^2 }{ y } = y^2*y^{-1} = y ^{2-1} = y\]
OpenStudy (danjs):
you make the exponent negative when you move it to the other side of the fraction
OpenStudy (anonymous):
wait do i reduce 8/2 and 14/2????
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OpenStudy (mertsj):
yes
OpenStudy (anonymous):
oh okay hold on
OpenStudy (anonymous):
so that means i see what all can go into the numerator and denominator right??
OpenStudy (mertsj):
What is 8 divided by 2?
OpenStudy (mertsj):
What is 14 divided by 2?
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OpenStudy (anonymous):
oh its 7 and 16 and so then i divide it and i get a decimal
OpenStudy (anonymous):
well the choices are
A.4xy^2-7y^2
S.4x-7
C.4xy-7y
D.4y-7x
OpenStudy (anonymous):
but my answer ended up as 7/16 or a big decimal
OpenStudy (danjs):
4xy - 7y
OpenStudy (danjs):
here.....
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OpenStudy (danjs):
\[\frac{ 8xy^2 - 14y^2}{ 2y } = \frac{ 8xy^2 }{ 2y } + \frac{ 14y^2 }{ 2y } = \frac{ 4xy }{ 1 }+ \frac{ 7y }{ 1 }\]
OpenStudy (danjs):
so just...
4xy + 7y
OpenStudy (danjs):
oh its minus
OpenStudy (danjs):
replace those + with -
OpenStudy (danjs):
4xy - 7y
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OpenStudy (anonymous):
oh okay so when theres a positive sign i change it to a negative?
OpenStudy (danjs):
no the original problem was minus, i just misstyped it
OpenStudy (anonymous):
oh okay ill tag you again
OpenStudy (danjs):
alright