Sum of cubes

Algebra Level 4

If integers a , b , c a, b, c satisfy a b c 2 = 2 3 \frac{ab}{c^2}=\frac{2}{3} , then which of the following is always true for the sum a 3 + b 3 + c 3 a^3+b^3+c^3

It is always a composite number It is always a perfect square It is always a perfect cube It is always even

Hoo Zhi Yee by Hoo Zhi Yee , 26, Malaysia

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