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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-1

  • question_answer
       If m + n = -2 then the value of \[{{m}^{3}}+{{n}^{3}}\]-6mn is:

    A)  8                    

    B)  4

    C)  - 8                  

    D) - 4

    Correct Answer: C

    Solution :

     Given that - m + n = - 2           ... Cubing both sides - \[\left( {{m}^{3}}+{{n}^{3}} \right)~={{\left( -2 \right)}^{3}}\]\[{{m}^{3}}+{{n}^{3}}+3mn\left( m+n \right)=-8\] \[{{m}^{3}}+{{n}^{3}}+3mn\left( -2 \right)=-8\] [From equation ] \[{{m}^{3}}+{{n}^{3}}-6mn=\]


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