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Factorise: 27p3-1/216-9/2p2+1/4p

27p3 - 1/216 - 9/2p2 +1/4p

(3p)3 -(1/6)3 - 3(3p)2(1/6) + 3(3p)(1/6)2

(3p - 1/6)3 = (3p - 1/6)(3p - 1/6)(3p - 1/6)

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It is very easy ..

use a indentity : (a-b)3

(3p)3- (1/6)3- 3(3p)2(1/6)+ 3(3p)(1/6)2

(3p-1/6)3

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