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    If 5x²-8y-20x+2xy=(x+a)(bx+2y), then the value of (a-b) is:
    Question

    If 5x²-8y-20x+2xy=(x+a)(bx+2y), then the value of (a-b) is:

    A.

    –9

    B.

    1

    C.

    –1

    D.

    9

    Correct option is A

    Given:
    5x^2- 8y - 20x + 2xy = (x + a)(bx + 2y)
    5x^2- 8y - 20x + 2xy=bx^2 + 2xy + abx + 2ay
    Comparing on both sides
    b = 5 and
    ab = -20
    5a = -20
    a = -4
    we find (a-b) = -4-5 = -9

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