Factorise 27-125a³ -135a +225a²

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Solution

27 - 125a³ - 135a² + 225a²

=
(3)³ - (5a)³ - 335a(3 -5a)

[(a-b)³ = a³ - b³ -3ab(a-b)]

⇒ (3-5a)³

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