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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-7

  • question_answer
    What is \[\frac{({{x}^{2}}+{{y}^{2}})(x-y)-{{(x-y)}^{3}}}{{{x}^{2}}y-x{{y}^{2}}}\] equal to?

    A) 1                                 

    B) 2

    C) 4                                 

    D) 2

    Correct Answer: B

    Solution :

    \[\frac{({{x}^{2}}+{{y}^{2}})(x-y)-{{(x-y)}^{3}}}{{{x}^{2}}y-x{{y}^{2}}}\] =     \[\frac{{{x}^{3}}+x{{y}^{2}}-{{x}^{2}}y-{{y}^{3}}({{x}^{3}}-{{y}^{3}}-3{{x}^{2}}y+3x{{y}^{2}})}{{{x}^{2}}y-x{{y}^{2}}}\] =     \[\frac{{{x}^{3}}+x{{y}^{2}}-{{x}^{2}}y-{{y}^{3}}-{{x}^{3}}+{{y}^{3}}+3{{x}^{2}}y-3x{{y}^{2}}}{{{x}^{2}}y-x{{y}^{2}}}\] \[\frac{2{{x}^{2}}y-2x{{y}^{2}}}{{{x}^{2}}y-x{{y}^{2}}}=\frac{2({{x}^{2}}y-x{{y}^{2}})}{{{x}^{2}}y-x{{y}^{2}}}\]= 2


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