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    If x² - y² = 255 and x + y = 17, then find x - y.
    Question

    If x² - y² = 255 and x + y = 17, then find x - y.

    A.

    12

    B.

    15

    C.

    10

    D.

    8

    Correct option is B

    Given:
    x2y2=255x^2 - y^2 = 255​​
    x + y = 17
    Formula Used:
    x2y2x^2 - y^2​ = (x - y)(x + y)
    Solution:
    Substitute the known value into the algebraic identity.
    (x - y)(x + y) = 255
    (x - y) × 17 = 255
    x - y = 25517\frac{255}{17}​​
    x - y = 15
    Final Answer
    So the correct answer is (b)

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