Question

factorize;-x(y^5-z^5)+y(z^5-x^5)+z(x^5-y^5)

Answer 1

Note factorization is base don understanding symmetric and finding some method based on it. Method we see that (x+y+z)^5 - x^5 ...

x (y+z) – 5 (y+z), Factorise the expression.

Answer 2

=xy^5-xz^5+yz^5-yz^5+zx^5-y^6

=xy^5-xz^5+zx^5-y^6