Factorise the following by grouping the terms:x^2 - (p + q)x + pq - Vidyadip

Question

Factorise the following by grouping the term$s:x^2 - (p + q)x + pq$

✓

Answer

$x^2 - (p + q)x + pq$
$= x^2 - px - qx + pq$
$= (x^2 - px) - (qx + pq)$
$= x(x - p) - q(x - p)$
$= (x - p)(x - q).$

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