book Maths Puzzle Numerical Ability

Hello, here is my problem:
(U^6 + V^6 + 2U^3V^3) / (U^3 -V^3 + U^2V –UV^2)
The answer is= (U^2-UV+V^2)^2 / (U-V)
I have been working on it for about three hours, I just need the steps to help me figure it out. Please and Thanks!

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