Find the G.C.D x4 - 27a3x, (x - 3a)2
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Answer :
Given,
x4 – 27a3 x = x[x3 – (3a)3]
= x[(x – 3a)(x2 + 9a2 + 3ax)]
= x(x – 3a)(x2 + 9a2 + 3ax)
(x – 3a)2 = (x – 3a)(x – 3a)
Greatest common divisor = (x – 3a)
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