Difference between revisions of "1981 AHSME Problems/Problem 8"
Coolmath34 (talk | contribs) (Created page with "==Problem 8== For all positive numbers <math>x</math>, <math>y</math>, <math>z</math>, the product <cmath> (x+y+z)^{-1}(x^{-1}+y^{-1}+z^{-1})(xy+yz+xz)^{-1}[(xy)^{-1}+(yz)^{-...") |
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Latest revision as of 16:28, 28 January 2021
Problem 8
For all positive numbers , , , the product equals
Solution
Start simplifying:
The and cancel out:
The answer is
-edited by coolmath34