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Simplify

• To: mathgroup at smc.vnet.net
• Subject: [mg32652] Simplify
• From: simba_leo at gmx.ch (simba_leo)
• Date: Fri, 1 Feb 2002 16:10:55 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Hello

How can I simplify the following term?

(a^(1/3) - b^(1/3)) * ((a^(2/3) + (ab)^(1/3) + b^(2/3))/(a-b))^(1/3)

If I use the commands "Simplify", "FullSimplify", "Expand" or "PowerExpand"
mathematica doesn't find the solution.
The solution is (a^(1/3)-b^(1/3))^(2/3)
If it's possible to find the solution in mathematica could mathematica show
me the way this solution?

Thanks for your answers!