Binomial Expansion

Find the coefficient of x^{3} in the expansion of \displaystyle \frac{\sqrt{1+3x-4x^{2}}}{(x+1)(1-2x)^{2}}.

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Miscellaneous Examples, Question 26, p. 222)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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