find the coefficient of X^5Y^7 in the expansion of (x-2y)^12​

find the coefficient of X^5Y^7 in the expansion of (x-2y)^12​

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  1. Answer:

    Step-by-step explanation:

    12Cr × x^(12-r)(-2y)^r

    ∴For the term X^5 y^7

    y=7

    ∴r=7

    8th term = 12C7 × x^(12-7) (-2y)^7

    =12C7×(-2^7) × x^5 y^7

    =-1584 x^5 y^7

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