SSC Quantitative Aptitude LCM & HCF Question Bank LCM and HCF (II)

  • question_answer
    Find the LCM of \[({{x}^{4}}-1)\] and \[({{x}^{2}}-1)\]

    A) \[x-1\]

    B) \[{{x}^{2}}-1\]

    C) \[{{x}^{3}}-1\]

    D) \[{{x}^{4}}-1\]

    Correct Answer: D

    Solution :

    [d] \[{{x}^{4}}-1=({{x}^{2}}-1)({{x}^{2}}+1)\] \[{{x}^{2}}-1={{x}^{2}}-1\] So, LCM of the given polynomials             \[=({{x}^{2}}-1)({{x}^{2}}+1)={{x}^{4}}-1\]


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