Railways R.R.C. (Gorakhpur) Solved Paper Held on 2nd Shift 30-11-2014

  • question_answer
    Which of the following is equal to (\[(4{{x}^{2}}+9{{y}^{2}})\])\[(2x+3y)\,\,(2x-3y)?\]

    A) \[(16{{x}^{4}}-81{{y}^{4}})\]

    B) \[(4{{x}^{3}}-4{{y}^{3}})\,\,(2x+3y)\]

    C) \[(8{{x}^{3}}-27{{y}^{3}})\,\,(2x+3y)\]

    D) \[(8{{x}^{3}}-27{{y}^{3}})\,\,(2x-3y)\]

    Correct Answer: A

    Solution :

    \[(4{{x}^{2}}+9{{y}^{2}})(2x+3y)(2x-3y)\] \[=(4{{x}^{2}}+9{{y}^{2}})(4{{x}^{2}}-9{{y}^{2}})\] \[=(16{{x}^{4}}-81{{y}^{4}})\]


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