Question

Simplify (a 2 -b 2 ) 3 +(b 2 -c 2 ) 3 +(c 2 -a 2 ) 3 divided by (a-b) 3 +(b-c) 3 +(c-a) 3​

Answer 1

Answer:

(a 2 -b 2 ) 3 +(b 2 -c 2 ) 3 +(c 2 -a 2 ) 3

             (a-b) 3 +(b-c) 3 +(c-a) 3​

=    3a2-3b2+3b2-3c2+3c2-3a2

             3a-3b+3b-3c+3c-3a

=     0