AIME 2015 Problem 14

Algebra Level 4

Let xx and yy be real numbers satisfying x4y5+y4x5=810x^4y^5+y^4x^5=810 and x3y6+y3x6=945x^3y^6+y^3x^6=945. Evaluate 2x3+(xy)3+2y32x^3+(xy)^3+2y^3.


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