If the expression a x^ 2 +b y^ 2 +c z^ 2 +2 a y z+2 b z x+2 c x y can be resolved into…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

If the expression \(a x^{2}+b y^{2}+c z^{2}+2 a y z+2 b z x+2 c x y\) can be resolved into rational factors, then
  1. a2 + b2 + c2 = 2abc
  2. a3 + b3 + c3 = 3abc
  3. a + b + c = abc
  4. None of these

Answer

(B) a 3 + b 3 + c 3 = 3abc

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