Let's Start With An Easy One!

Algebra Level 2

aa and bb are real numbers such that

a4+a2b2+b4=900a^4+a^2b^2+b^4=900

a2+ab+b2=45a^2+ab+b^2=45

What is the value of 2ab2ab?


This problem is from the OMO-2012.


This problem is from the set "Olympiads and Contests Around the World -1". You can see the rest of the problems here.

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