9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    Factorise:\[{{a}^{4}}+4\]

    A) \[({{a}^{2}}+2a-2)({{a}^{2}}+2a+2)\]

    B) \[({{a}^{2}}-2a-2)({{a}^{2}}+2a-2)\]

    C) \[({{a}^{2}}+2a-2)({{a}^{2}}-2a+2)\]

    D) \[({{a}^{2}}+2a+2)({{a}^{2}}-2a+2)\]

    Correct Answer: D

    Solution :

    \[{{a}^{4}}+4\] \[={{a}^{4}}+4{{a}^{2}}-4{{a}^{2}}+4\] \[=({{a}^{2}}+2a+2)({{a}^{2}}-2a+2)\]


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