Factorise: $a^{2} - b a + a c - b c$

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Solution

The equation $a^{2} - b a + a c - b c$ can be factorised as follows:

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

Hence, $a^{2} - b a + a c - b c = (a - b) (a + c)$

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Similar questions

Factorise the term $a^{2} + b c + a b + a c$

a^{2} + b c - a c - b^{2}

a^{2} - a b - a c + b c

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$a^{8} - 2 a^{4} b^{4} + b^{8}$

a^{2} + b^{2} - 2 (a b - a c + b c)

= (a - b) {(a - b) + 2 c} = (a - b) (a - b + 2 c)

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