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Find the coefficient of x³ in the expansion of (2x+5)^6

  • math -

    From your last question:
    a^6 + 6 a^5 b + 15 a^4 b^2 + 20 a^3 b^3 + 15 a^2 b^4 + 6 a b^5 + b^6

    Here a = 2x
    b = 5

    so if you are looking for the x^3 term, it is found in the middle
    20 a^3 b^3
    20 * (2x)^3 * 5^3
    = 20 * 8 * 125 x^3
    =20,000 x^3

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