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

  • question_answer
    Using the identity \[{{(a-b)}^{2}}={{a}^{2}}-2ab+{{b}^{2}},\]find the value of\[~{{96}^{2}}\].

    A)  \[9642\]                             

    B)  \[9461\]             

    C)         \[9426\]             

    D)         \[9216\]

    Correct Answer: D

    Solution :

    \[{{96}^{2}}={{(100-4)}^{2}}\] \[={{100}^{2}}-2(100)(4)+{{(4)}^{2}}=9216\]


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