AIME 2015 Problem 14

Algebra Level 4

Let $x$ and $y$ be real numbers satisfying $x^4y^5+y^4x^5=810$ and $x^3y^6+y^3x^6=945$ . Evaluate $2x^3+(xy)^3+2y^3$ .

Try more problems of AIME from this set AIME 2015