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Mathematics 8 Online
OpenStudy (mindblast3r):

help please

563blackghost (563blackghost):

depends on what kind of question but i can help

OpenStudy (mindblast3r):

sec

OpenStudy (mindblast3r):

\[\frac{ (x +y)xy}{3xy }=\frac{ x +y}{3}\]

OpenStudy (mindblast3r):

can you explain how the first expression simplifies to the second.

OpenStudy (mindblast3r):

@danjs

563blackghost (563blackghost):

well in the numerator there is xy which cancels out the xy in the denominator

OpenStudy (mindblast3r):

true, but isn't the value of x and y = 1?

563blackghost (563blackghost):

its not necessarily one it can be any number

OpenStudy (mindblast3r):

x*x = x^2 right?

563blackghost (563blackghost):

yes x *x does equal x^2 but if you divide x^2 by x it would equal x

OpenStudy (danjs):

\[\frac{ xy }{ xy } = \frac{ 1 }{ 1 }\]

OpenStudy (danjs):

\[\frac{ (x+y) }{ 3 }*\frac{ xy }{ xy } = \frac{ (x+y) }{ 3 }*\frac{ 1 }{ 1 } = \frac{ (x+y) }{ 3 }\]

OpenStudy (danjs):

you could look at it like this , using exponent rules \[\frac{ xy }{ xy } = x^1*x^{-1}*y^1*y^{-1} = x^{1-1}*y^{1-1}\]

OpenStudy (jdoe0001):

\(\bf \cfrac{ (x +y)\cancel{ xy}}{3\cancel{ xy} }=\cfrac{ x +y}{3}\) as aforementioned

563blackghost (563blackghost):

i agree with you jdoe0001

OpenStudy (mindblast3r):

wow, you guys are amazing <3 i would give you all a medal if i could

OpenStudy (mindblast3r):

thank you everyone who has spent the time to help me, your actions will not go unforgotten :)

563blackghost (563blackghost):

your welcome xD

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