SSC CPO SI and ASI 2013 Paper

Question : 115 of 200

Marks: +1, -0

If x = a – b, y = b – c, z = c – a, then the numerical value of the algebraic expression x

^{3}

+ y

^{3}

+ z

^{3}

– 3xyz will be

Solution:

If x = a – b, y = b – c, z = c - a
⇒x + y + z = a - b + b - c + c - a = 0
For x + y +z = 0, value of x

^{3}

+ y

^{3}

+ z

^{3}

– 3xyz = 0

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