Expand the following:
(i) (3
(i) Given that: (3a – 2b)3 = [3a + (−2b)]3
= (3a)3 + (−2b)3 + 3(3a)2(−2b) + 3(3a)(−2b)2
[∵ (a + b)3 = (a3 + b3 + 3a2b + 3ab2)]
= 27a3 – 8b3 – 54a2b + 36ab2
(ii). given
[∵ (a + b)3 =(a3 + b3 + 3a2b + 3ab2)]
=
(iii). Given that: (4 −13x)3
= (4)3 + (−13x)3 + 3(4)2(−13x) + 3(4) (−13x)2
[∵ (a + b)3 =(a3 + b3 + 3a2b + 3ab2)]
= 64 −127x3 −16x + 43x