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NTSE Sample Paper NTSE SAT Practice Test-14

  • question_answer
    The continued  product of \[(a+b)({{a}^{3}}+{{b}^{3}})\]\[({{a}^{2}}-ab+{{b}^{2}})\] is

    A) \[{{a}^{6}}+{{b}^{6}}\]                  

    B) \[{{a}^{6}}-{{b}^{6}}\]

    C) \[{{a}^{5}}-{{b}^{5}}\]                    

    D) \[{{a}^{7}}-{{b}^{7}}\]

    Correct Answer: B

    Solution :

    [b] \[\left( a+b \right)\left( {{a}^{2}}-ab+{{b}^{2}} \right)\left( {{a}^{3}}+\text{ }{{b}^{3}} \right)\] \[=({{a}^{3}}-{{b}^{3}})({{a}^{3}}+{{b}^{3}})={{a}^{6}}-{{b}^{6}}\]


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