SSC Sample Paper Mock Test-3 SSC CGL Tear-II Paper-1

  • question_answer
    What are the factors of  \[{{x}^{2}}+4{{y}^{2}}+4y-4xy-2x-8?\]

    A)  \[(x-2y-4)\]and \[(x-2y+2)\]

    B)  \[(x-y+2)\]and \[(x-4y+4)\]

    C)  \[(x-2+2)\]and \[(x-4y-4)\]

    D)  \[(x+2y-4)\]and\[(x+2y+2)\]

    Correct Answer: A

    Solution :

    \[{{x}^{2}}+4{{y}^{2}}+4y-4xy-2x-8\] \[={{(x-2y)}^{2}}-2(x-2y)-8\] \[={{(x-2y)}^{2}}-4\,\,(x-2y)+2\,\,(x-2y)-8\] \[=(x-2y-4)(x-2y+2)\]


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