8th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions and Identities

  • question_answer
    Square of \[9x-7xy\] is

    A)  \[81{{x}^{2}}+49{{x}^{2}}{{y}^{2}}\]

    B)  \[81{{x}^{2}}-49{{x}^{2}}{{y}^{2}}\]

    C)  \[81{{x}^{2}}+49{{x}^{2}}{{y}^{2}}-126{{x}^{2}}y\]

    D)  \[81{{x}^{2}}+49{{x}^{2}}{{y}^{2}}-63{{x}^{2}}y\]

    Correct Answer: C

    Solution :

    \[{{(9x-7xy)}^{2}}={{(9x)}^{2}}-2\times 9x\times 7xy+{{(7xy)}^{2}}\] \[=81{{x}^{2}}-126{{x}^{2}}y+49{{x}^{2}}{{y}^{2}}\]


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