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    Simplify: (423×423-325×325)/(423-325)
    Question

    Simplify: (423×423-325×325)/(423-325)

    A.

    748

    B.

    487

    C.

    478

    D.

    874

    Correct option is A

    Given:

    423×423325×325423325 \frac{423×423−325×325}{423−325}​

    Formula used:

    a2b2=(ab)(a+b)a^2 −b^2 =(a−b)(a+b)

    Solution:

    Here, = 423 and = 325 So, the expression becomes:

    (423325)(423+325)423325 \frac{(423−325)(423+325)}{423−325}​

    98×(423+325)98\frac{98×(423+325)}{98}​

    = 423 + 325

    = 748

    Thus, correct option is (a)

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