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    Solve the following. ((28.4)2−(24.4)2)(28.4−24.4))\frac{((28.4)^2-(24.4)^2)}{(28.4-24.4))}(28.4−24.4))((28.4)2−(24.4)2)​​= ?
    Question

    Solve the following.
    ((28.4)2(24.4)2)(28.424.4))\frac{((28.4)^2-(24.4)^2)}{(28.4-24.4))}​= ?

    A.

    52

    B.

    8

    C.

    52.8

    D.

    4

    Correct option is C

    Given:

    ((28.4)2(24.4)2)(28.424.4))\frac{((28.4)^2-(24.4)^2)}{(28.4-24.4))} 

    Formula Used:

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

    Solution:

    ((28.4)2(24.4)2)(28.424.4))\frac{((28.4)^2-(24.4)^2)}{(28.4-24.4))}

    By using formula a2b2=(a+b)(ab)a^2 -b^2=(a+b)(a-b)

    ​​((28.424.4)(28.4+24.4)(28.424.4))\frac{((28.4-24.4)(28.4+24.4)}{(28.4-24.4))}  =28.4+24.4=52.8​

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