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Mathematics 10 Online
OpenStudy (mindblast3r):

help

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)

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.

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

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

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?

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

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