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    Question

    Simplify the following expression:

    ((32)4 - 1)/33×31× (210+1)
    A 1 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C -2 Correct Answer Incorrect Answer
    D -1 Correct Answer Incorrect Answer

    Solution

    a=32 and b =1 (a4-b4) = (a²+b²) (a+b) (a-b) ((32)4 – 14)/33×31× (210+1) = ((32)2 +1) (32+1) (32-1) / 33×31× (210+1) = ((25)2+1) ×33×31 /33×31× (210+1) = (210+1)/ (210+1) =1.

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