Question 566829
(s-r)/(1/r - 1/s)



(s*rs-r*rs)/((1/r)*rs - (1/s)*rs)



(rs^2-r^2s)/(s - r)



(rs(s-r))/(s - r)



rs



So (s-r)/(1/r - 1/s) = rs for all values of r and s where r does not equal s, and neither s nor r are zero.



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