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 is the factor of a(b^2 -c^2)+ b(c^2 -a^2)+ c(a^2 - b^2) .

Factorize 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

Resolve into factors a(b-c)^2+b(c-a)^2+c(a-b)^2+8abc

Using the factor theorem it is found that a+b , b+c and c+a are three factors of the determinant |[-2a ,a+b, a+c],[ b+a,-2b,b+c],[c+a ,c+b,-2c]| . The other factor in the value of the determinant is

Using the factor theorem it is found that a+b , b+c and c+a are three factors of the determinant |[-2a ,a+b, a+c],[ b+a,-2b,b+c],[c+a ,c+b,-2c]|. The other factor in the value of the determinant is

Using the factor theorem it is found that a+b , b+c and c+a are three factors of the determinant |[-2a, a+b ,a+c],[ b+a,-2b,b+c],[c+a, c+b, -2c]|dot The other factor in the value of the determinant is (a) 4 (b) 2 (c) a+b+c (d) none of these

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