SOLUTION: I need help, please! Simplify {{{(x^-2-y^-2)/(x^-1-y^-1)}}}

Question 18865: I need help, please!
Simplify

Answer by xcentaur(357) (Show Source): You can put this solution on YOUR website!

A negative power means that you can put the reciprocal of that number
ie. x^-2 is the same as (1/x^2)

keeping that in mind,this expression becomes

Taking LCM this becomes,

Now we get,

**(y^2-x^2)=(y-x)(y+x).Substituting this we get,

**(x^2*y^2)=(xy)(xy).Substituting this we get,

Now cancelling out terms we get,

And this is the final answer.

Hope this helps,
Prabhat

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