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    Simplify the following expressions:​9991×100099991 \times 100099991×10009​​
    Question

    Simplify the following expressions:

    9991×100099991 \times 10009​​

    A.

    9999999

    B.

    91999919

    C.

    9999919

    D.

    99999919

    Correct option is D

    Given:

    The expression to simplify is:

    9991 × 1000

    Formula Used:

    (a+b)(a−b) = a2 − b2

    Solution:
    9991 × 10009

    = (10000−9) × (10000+9)

    = (10000)2 – (9)2

    = 100000000 – 81

    = 99999919

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