Factorise the following by grouping the terms:
n) $x^{2} - (p + q) x + p q$

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Solution

Given: $x^{2} - (p + q) x + p q$

$= x^{2} - p x - q x + p q$

On grouping the terms, we get,

$= (x^{2} - p x) - (q x - p q)$

$= x (x - p) - q (x - p)$

$= (x - p) (x - q)$

Hence, the answer is $(x - p) (x - q)$ .

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