Please simplify the rational expression

Question

(y/x - x/y) ÷ (5/y - 5/x)

 

Thanks in advance

Answer 1

change the two different expressions that are enclosed in parentheses so that a common denominator is used in each case.

 

those denominators will be opposites, and so they will in effect cancel "-1" times, when the divisor is inverted to achieve the desired division by doing multiplication by the divisor's reciprocal..

 

 

with careful work, this might simplify very nicely.