Questions Mathematics
factorise:
a.) (a-b)^3+(b-c)^3+(c-a)^3
It is of second degree in a and it is zero at a = b and a = c. The coefficient of a^2 is 3(c-b). Also, the original expression is symmetric w.rt. cyc,ic permutations. You can write the factorized form in the symmetric form
3(a-b)(c-a)(b-c)
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