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Mathematics 17 Online
OpenStudy (study_buddy99):

help with rational expressions (college alg)

OpenStudy (study_buddy99):

\[\frac{ \frac{ 1 }{ x }-\frac{ 1 }{ y } }{ x^2-y^2 }\]

satellite73 (satellite73):

factor the denominator you know how to do that?

OpenStudy (study_buddy99):

no... (xy)(x-y)???

satellite73 (satellite73):

\[x^2-y^2=(x+y)(x-y)\]

satellite73 (satellite73):

also do the subtraction in the numerator

satellite73 (satellite73):

i.e. compute \[\frac{1}{x}-\frac{1}{y}\]

OpenStudy (study_buddy99):

\[\frac{ 1y-1x }{ xy }\]

satellite73 (satellite73):

right

satellite73 (satellite73):

although i would not put the 1's there, your teacher will think you are daft

satellite73 (satellite73):

so you got \[\frac{\frac{y-x}{xy}}{(x+y)(x-y)}\]

satellite73 (satellite73):

put the denominator in the deominator where it belongs, get \[\frac{y-x}{xy(x+y)(x-y)}\] then you can cancel

OpenStudy (study_buddy99):

2y?

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