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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
answered-by-expert 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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