Factorise:
$a^{3} b - a^{2} b + 5 a b - 5 b$

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Solution

a³ b – a² b + 5ab – 5b

a³ b – a² b + 5ab – 5b

= a² b (a – 1) + 5b (a – 1)

= (a – 1) (a² b + 5b)

= (a – 1) b (a² + 5)

= b (a – 1) (a² + 5)

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