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    Question

    The simplified value of (452 x 452 x 452 – 356 x 356 x

    356)/(452 x 356 + 452 x 452 + 356 x 356) is:
    A 135 Correct Answer Incorrect Answer
    B 96 Correct Answer Incorrect Answer
    C 120 Correct Answer Incorrect Answer
    D 78 Correct Answer Incorrect Answer

    Solution

    (452 x 452 x 452 – 356 x 356 x 356)/(452 x 356 + 452 x 452 + 356 x 356) = (4523 – 3563)/(452 x 356 + 4522 + 3562) Using, (a3 - b3) = (a - b)(a2 + ab + b2) = (452 – 356) x (452 x 356 + 4522 + 3562)/ (452 x 356 + 4522 + 3562) = 96  

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