What will be the simplest form of the rational expression $\frac{x^{2} - 4}{(x - 2)}$ ?

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Solution

Here, we factorise the numberator by using the formula : $a^{2} - b^{2} = (a - b) (a + b)$

$∴ \frac{x^{2} - 4}{x - 2} = \frac{(x - 2) (x + 2)}{(x - 2)}$

$∴ \frac{x^{2} - 4}{x - 2} = x + 2$

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