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) .

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

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

Sum of the factors of 4 b ^(2) c ^(2) - (b ^(2) + c ^(2)- a ^(2)) ^(2) is

Find the factors of a^(2) (b+c) + b^(2) (c +a) + c^(2) (a +b) +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