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Ex 2.5,8 - Chapter 2 Class 9 Polynomials - Part 5

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Ex 2.5, 8 Factorise each of the following: (v)27p3 – 1/216 – 9/2 p2 + 1/4 p 27p3 – 1/216 – 9/2 p2 + 1/4 p = (3p)3 – (1/6)^3 – 9/2 p2 + 1/4 p = (3p)3 – (1/6)^3 – 3(3p) (1/6)(3𝑝 −1/6) Using (x – y)3 = x3 – y3 – 3xy(x – y) Putting x = 3p, y = 1/6 = (3𝑝 − 1/6)3 = (3𝑝−1/6) (3𝑝−1/6) (3𝑝−1/6)

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