Dare to do
In the expansion of , if the cofficients of and are equal, then =?
The answer is 669.
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1 solution
(ax+b)^2009 = b^2009 + 2009b^2008(ax) + 2009C2(b^2007)(ax)^2 + 2009C3(b^2006)(ax)^3 + ... Coefficients of x^2 and x^3 are equal: 2009C2(b^2007)a^2 = 2009C3(b^2006)a^3 b/a = 2009C3/2009C2 = 669