CBSE Class 9 Answered
Factorise
: a3(b - c)3 + b3 (c - a)3 + c3
(a - b)3
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
[a (b - c)]3 + [b (c - a)]3 + [c (a - b)]3
Here,
a (b - c) + b (c - a) + c (a - b)
= ab - ac + bc - ab + ca - bc
= 0
[a (b - c)]3 + [b (c - a)]3 + [c (a - b)]3
= 3 a (b - c) b (c - a) c (a - b)
= 3 abc (a - b) (b -c) (c - a)
Answered by | 04 Jun, 2014, 03:23: PM
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