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HKIMO 2018 Grade 9 National Final (Heat) Set 04 Question 15

HKIMO · HKIMO 2018 Grade 9 National Final (Heat) Set 04

Question 15

Real numbers x,y satisfy $x+y=7$ and $x^2+y^2=29$. Find $x^3-2x^2y-2xy^2+y^3$.