8th Class Mathematics Factorisation Question Bank Factorization

  • question_answer
    Factorize the expression given by \[18{{x}^{3}}{{y}^{3}}-27{{x}^{2}}{{y}^{3}}+36{{x}^{3}}{{y}^{2}}\]

    A)  \[9{{x}^{2}}{{y}^{2}}(2xy-3y+4x)\]    

    B)  \[9{{x}^{2}}{{y}^{2}}(2xy+3y+4x)\]

    C)  \[~9{{x}^{2}}{{y}^{2}}(2xy+3y-4x)\]               

    D)  \[9{{x}^{2}}{{y}^{2}}(2xy-3y-4x)\]

    Correct Answer: A

    Solution :

    (a): Inspection shows that\[9{{x}^{2}}{{y}^{2}}\]is common factor: \[9{{x}^{2}}{{y}^{2}}\text{ }\left\{ 2xy-3y+4x \right\}\] Further factors are not possible.


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