Factorize `a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2).`

Using factor theorem, show that a - b is the factor of a(b^2 -c^2)+ b(c^2 -a^2)+ c(a^2 - b^2) .

Resolve into factors a(b^2+c^2)+b(c^2+a^2)+c(a^2+b^2) + 2abc

Factorize: a^2-b^2+2b c-2ac

Factorize: a^2+2a b+b^2-c^2

Using factor theorem,show that (a-b),(b-c) and (c-a) are the factors of a(b^(2)-c^(2))+b(c^(2)-a^(2))+c(a^(2)-b^(2))

Using factor theorem,show that a-b,b-C and C-a are the factors of a(b^(2)-c^(2))+b(c^(2)-a^(2))+c(a^(2)-b^(2))

Factorize : (a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3

Factorize : (a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3

Factorize: a^2+4b^2-4a b-4c^2