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Math Help - Binomial expansion

  1. #1
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    Binomial expansion

    Find the coefficient of x^5 for the expression: (1-x)^6(2x+3)^4 .. The answer provided is -222.... thanks...
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  2. #2
    Senior Member abhishekkgp's Avatar
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    Quote Originally Posted by MichaelLight View Post
    Find the coefficient of x^5 for the expression: (1-x)^6(2x+3)^4 .. The answer provided is -222.... thanks...
    one way would be to differentiate this 5 times and then put x=0.
    the other method is:
    [coefficient of x^0 in (1-x)^6]*[coefficient of x^5 in (2x+3)^4] + [coefficient of x^1 in (1-x)^6]*[coefficient of x^4 in (2x+3)^4]+...+[coefficient of x^5 in (1-x)^6]*[coefficient of x^0 in (2x+3)^4]
    for this you can use binomial theorem.
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