Question

Factorise 250[(a - b) whole cube] +2

Answer 1

formula : (a-b)3 = a3- 3a2b + 3ab2 - b3
=250a3 - 750a2b + 750ab2 - b3 + 2
=2( 125a3 - 375a2b + 375ab2 - 125b3 + 1
53 =125
=2[(5a - 5b)3 + 13]
=2[(5a -5b) + 1][(5a- 5b)2 - (5a -5b) + 1]
=2(5a -5b + 1)(25a2 -50ab +25b2 -5a +5b + 1)


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