Binomial Expansion

Find the first four terms in the expansion of \displaystyle \frac{\left(1-x\right)^{2}}{1-x^{3}} as a power series in x.  What is the coefficient of x^{3p} in the expansion of \displaystyle \frac{1-x}{1+x+x^{2}}

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Miscellaneous Examples, Question 14, p. 221)

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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