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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-9

  • question_answer
    If\[x+\text{ }y=15\], then \[{{(x-10)}^{3}}+{{(y-5)}^{3}}\] is

    A) 25                    

    B) 125

    C) 625                              

    D) 0

    Correct Answer: D

    Solution :

    \[x+y=15~~~\] \[\Rightarrow (x-10)+(y-5)=0\] \[\therefore {{(x-10)}^{3}}+{{(y-5)}^{3}}\]   \[={{\left( x-10+y-5 \right)}^{3}}-3\text{ }\left( x-10 \right)\text{ }(y-5)\] \[(x-10+y-5)=0\]         \[[{{a}^{3}}+{{b}^{3}}={{(a+b)}^{3}}-3ab(a+b)]\]     


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