Using a suitable identity, find each of the following products:
$(\frac{1}{x} + \frac{1}{y}) (\frac{1}{x} - \frac{1}{y})$

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Solution

using $(a + b) (a - b) = a^{2} - b^{2}$
$(\frac{1}{x} - \frac{1}{y}) (\frac{1}{x} + \frac{1}{y}) = (\frac{1}{x^{2}} - \frac{1}{y^{2}})$

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