8th Class Mathematics Factorisation Question Bank Factorisation

  • question_answer
    Factorising \[{{(x-y)}^{2}}+4xy-{{z}^{2}}\], we get

    A)  \[(x+y+z)(x+y-z)\]

    B)  \[(y-y-z)(x+y-z)\]

    C)  \[(x-y+z)(x+y-z)\]

    D)  None of these

    Correct Answer: A

    Solution :

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


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