PDF chapter test TRY NOW
(i) Verify that: \(x^3 + y^3 + z^3 – 3xyz = \frac{1}{2} (x + y + z) [(x – y)^2 + (y – z)^2 + (z – x)^2]\)
(ii) If \(x + y + z = 0\), show that \(x^3 + y^3 + z^3 = 3xyz\).
Important!
This is a creative exercise. It will be checked manually by the teacher.
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