Multiple Choice Questions on If x y z 0 then what is y z x 3 z x y 3 x y z 3 equal to ........ for CDS Exam Preparation

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Multiple Choice Questions

If x y z 0 then what is y z x 3 z x y 3 x y z 3 equal to ........

Quantitative Aptitude (CDS) Algebra
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    If x + y + z = 0, then what is (y + z - x)3 + ( z + x - y)3 + (x + y - z)3 equal to?

    (x + y + z)3

    Incorrect Answer

    3 (x + y)(y + z) (z + x)

    Incorrect Answer

     24xyz

    Incorrect Answer

     – 24xyz

    Correct Answer
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    Explanation:

    x + y + z = 0
    From this,
    y + z = -x

    z + x = -y

    x + y = -z
    Putting these values on eq
    (y + z - x)3 + (z + x - y)3 + (x + y - z)3 =(-x-x)3+(-y-y)3 +(-z-z)3 = (-2x)3+(-2y)3+(-2z)3 = -8(x3+y3+z3) {using identity for (x + y + z)3 when (x + y + z) =0} =-8*3xyz = -24xyz

    By: Munesh Kumari
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