Partial Fractions

Express \displaystyle \frac{x^{2}+3x}{x^{2}-4} in partial fractions.

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 16a, Question 6, p. 216)

{\LARGE Solution:}

    \begin{align*} x^2-4&=x^2-2^2\\ &=\left(x+2\right)\left(x-2\right) \end{align*}

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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