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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-3

  • question_answer
    The simplified form of\[\frac{{{x}^{2}}-x-6}{{{x}^{2}}-9}+\frac{{{x}^{2}}+2x-24}{{{x}^{2}}-x-12}\]is:

    A) \[\frac{2(x+4)}{x+3}\]                

    B) \[\frac{x+3}{2(x+4)}\]

    C) \[\frac{x+4}{x+3}\]     

    D)        \[\frac{x+3}{x+4}\]

    Correct Answer: A

    Solution :

    \[\frac{{{x}^{2}}-x-6}{{{x}^{2}}-9}+\frac{{{x}^{2}}+2x-24}{{{x}^{2}}-x-12}\]             \[=\frac{(x-3)(x+2)}{(x-3)(x+3)}+\frac{(x+6)(x-4)}{(x-4)(x+3)}\]             \[=\frac{x+2}{x+3}+\frac{(x+6)}{x+3}=\frac{(x+2)+(x+6)}{x+3}\]             \[=\frac{2x+8}{x+3}=\frac{2(x+4)}{x+3}\]


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