If find the value of


We have,


a3 (b – c)3 + b3 (c – a)3 + c3 (a – b)3


We know that,


a3 + b3 + c3 – 3abc = (a + b + c) (a2 + b2 + c2 – ab – bc – ca)]


Also,


If, (x + y + z) = 0


Then (x3 + y3 + z3) = 3xyz


Given,


x + y + 4 = 0


We have,


(x3 + y3 – 12xy + 64)


= (x)3 + (y)3 + (4)3 – 3 (x) (y) (4) = 0


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