Question

Factorise the following:

a² – 3a – 54

Answer 1

To factorise: a² – 3a – 54

Split the middle term and factorise the given expression.

⇒ a² – 3a – 54 = a² – 9a + 6a – 54

= a(a – 9) + 6(a – 9)

= (a + 6) (a – 9)

Therefore, a² – 3a – 54 = (a + 6) (a – 9)