Partial Fractions

Express \displaystyle \frac{1}{x^2-2} in partial fractions.


    \begin{align*} x^2-2&=x^2-\left(\sqrt{2}\right)^2\\ &=\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right) \end{align*}

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 16a, Question 18, p. 216)

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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