2019 · Q46
What is [(x - y)³ + (y - z)³ + (z - x)³] / [3(x - y)(y - z)(z - x)] equal to?
Elementary MathematicsAlgebra
- A1
- B0
- C1/3
- D3
Explanation
Since (x−y)+(y−z)+(z−x) = 0, use X^3+Y^3+Z^3 = 3XYZ when X+Y+Z = 0. The numerator is 3(x−y)(y−z)(z−x), so the ratio is 1.