Resolve into linear factors `a^2+b^2+c^2-ab-bc-ca`

Resolve into linear factors: a^2-ab+b^2

Resolve into linear factors:a ^(2)-ab+b^(2)

Resolve into the linear factor: a^2+ab+b^2

Resolve into the linear factor: a^2+ab+b^2

Resolve into factors : a^4 + 2a^2bc + b^2c^2

Resolve into factors 12a^2b+4a^2c+9b^2c+18ab^2+2ac^2+3bc^2+18abc

Resolve into factors bc(b+c)-ca(c-a)-ab(b-a)-2abc

Factorize: a^(2)+b^(2)+2(ab+bc+ca)

If the polynomial (a^(2)+b^(2)+c^(2)-ab-bc-ca)x^(2)+2abcx+(a^(2)+b^(2)+c^(2)) , where a, b, c are constants, be a linear polynomial, then prove that a = b = c.

Factorize the following equation " "b^(2)+c^(2)+2(ab+bc+ca)