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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-2

  • question_answer
    The result of division \[{{a}^{3}}\,+{{b}^{3}}\]by \[a+b\]is

    A)  \[{{a}^{3}}-ab+{{b}^{2}}\]

    B)  \[{{a}^{2}}+ab+{{b}^{2}}\]

    C)  \[{{a}^{2}}-ab+{{b}^{2}}\]

    D)  \[a-ab-{{b}^{2}}\]

    Correct Answer: C

    Solution :

    \[\frac{{{a}^{3}}+{{b}^{3}}}{a+b}=\frac{(a+b)({{a}^{2}}-ab+{{b}^{2}})}{(a+b)}\] \[={{a}^{2}}-ab+{{b}^{2}}\]


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