Mathematics
10 Online
OpenStudy (mindblast3r):
help
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OpenStudy (mindblast3r):
\[\frac{ x(3x+3)}{ x(4x+4) }=\frac{ 3x+3 }{4x+4 }\]
OpenStudy (mindblast3r):
how are these equivalent?
OpenStudy (mindblast3r):
@hartnn
OpenStudy (mindblast3r):
x * 3x = ??
hartnn (hartnn):
just cancel out x from the numerator and denominator
(and note that x cannot be =0 now)
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OpenStudy (mindblast3r):
\[3x \times x = 3x^2\]
OpenStudy (mindblast3r):
is that how it works though?
hartnn (hartnn):
3x * x = x^2 is correct
and yes
hartnn (hartnn):
**3x^2
OpenStudy (mindblast3r):
so then.
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OpenStudy (mindblast3r):
\[\frac{ x(3x+3) }{ x(4x+4) } = \frac{ 3x^2 + 3 }{ 4x^2 + 4 }\]
OpenStudy (mindblast3r):
? is that correct?
hartnn (hartnn):
no
x will be distributed to 3 too
OpenStudy (mindblast3r):
really? but they aren't like terms.
hartnn (hartnn):
a(b+c) = ab + ac
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OpenStudy (mindblast3r):
so then
hartnn (hartnn):
unlike terms cannot be Added or subtracted
but they can be multiplied
OpenStudy (mindblast3r):
\[\frac{ x(3x+3) }{ x(4x+4) }=\frac{ 3x^2+3x }{ 4x^2+4x }\]
OpenStudy (mindblast3r):
i see. so is this correct?
OpenStudy (mindblast3r):
@hartnn
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hartnn (hartnn):
yes, but why are you doing all that?
why won't you just cancel out x from numerator and denominator?
OpenStudy (mindblast3r):
because i want to understand how it works.
OpenStudy (mindblast3r):
instead of knowing just how to get the answer lol.
hartnn (hartnn):
it works only by cancelling out the x from num and denom.
thats what you should understand :P
OpenStudy (mindblast3r):
wait what? are you sure?
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hartnn (hartnn):
yes, thats it
just cancel those damn x's
and you're done
nothing complicated
OpenStudy (mindblast3r):
b-b-but i want a full understanding of how this works.
OpenStudy (mindblast3r):
:(
OpenStudy (mindblast3r):
thanks