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SSC Quantitative Aptitude Algebra Question Bank Elementary Algebra (II)

  • question_answer
    If \[x=y=333\] and \[z=334,\] the values of \[{{x}^{3}}+{{y}^{3}}+{{z}^{3}}-3xyz\]is

    A) 0

    B) 667

    C) 1000

    D) 2334

    Correct Answer: C

    Solution :

    [c] \[{{x}^{3}}+{{y}^{3}}+{{z}^{3}}3xyz=\frac{1}{2}(x+y+z)\] \[[{{(x-y)}^{2}}+{{(y-z)}^{2}}+{{(z-x)}^{2}}]\] \[=\frac{1}{2}(333+333+334)\]                         \[[{{(0)}^{2}}+{{(-1)}^{2}}+{{(1)}^{2}}]=1000\]


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