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    Find the value of 119.52−116.42119.5−116.4\frac{119.5^2-116.4^2}{119.5-116.4}119.5−116.4119.52−116.42​.​
    Question

    Find the value of 119.52116.42119.5116.4\frac{119.5^2-116.4^2}{119.5-116.4}.​

    A.

    235.1

    B.

    217.9

    C.

    3.1

    D.

    235.9

    Correct option is D

    Given:

    119.52116.42119.5116.4\frac{119.5^2-116.4^2}{119.5-116.4} 

    Formula used:

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

    Solution:

    Here,

    aa = 119.5 , bb = 116.4

    So, 

    a2b2ab\frac{a^2-b^2}{a-b}

    (a+b)(ab)ab\frac{(a+b)(a-b)}{a-b} = (a+ba+b)

    Now, Substitute the value of aa  and bb 

    = (a+ba+b)

    = 119.5+116.4

    = 235.9

    Thus the correct answer is (D)


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