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      Question

      If x + y + z = 6, and x3 + y3 +

      z3 = 36, xyz = 6 then find (xy +yz + zx)?
      A 10 Correct Answer Incorrect Answer
      B 11 Correct Answer Incorrect Answer
      C 22 Correct Answer Incorrect Answer
      D 5 Correct Answer Incorrect Answer

      Solution

      => x3 + y3 + z3 โ€“ 3xyz = (x+y+z) (x+y+z)2 โ€“ 3(xy +yz + zx) => 36 โ€“ 18 = 6 (36 โ€“ 3(xy +yz + zx)) => 3 = 36 โ€“ 3(xy +yz + zx) => xy +yz + zx = 11

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