Ex 2.4, 8 - Factorise (iii) 27 – 125a^3 – 135a + 225a^2 - Teachoo - Ex 2.4

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Ex 2.4, 8 Factorise each of the following: (iii) 27 – 125a3 – 135a + 225a2 27 – 125a3 – 135a + 225a2 = (3)3 – (5a)3 – 135a + 225a2 = (3)3 – (5a)3 – 45a(3 – 5a) = (3)3 – (5a)3 – 3(3)(5a)(3 – 5a) Using (x – y)3 = x3 – y3 – 3xy (x – y) Putting x = 3, y = 5a = (3 – 5a)3 = (3 – 5a) (3 – 5a) (3 – 5a)

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