Solve equations using factorization method:

$x^{2} - (a + b) x + a b = 0$

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Solution

Step : Factorising the equation:
$x^{2} - (a + b) x + a b = 0$
$\Rightarrow x^{2} - a x - b x + a b = 0$
$\Rightarrow x (x - a) - b (x - a) = 0$
$\Rightarrow (x - a) (x - b) = 0$
$\Rightarrow x - a = 0 o r x - b = 0$
{zero product rule}
$∴ x = a o r x = b$
Hence, the required answer is $x = a o r x = b$

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