`ax^2+ by^2+ cz^2+2ayz+ 2bzx +2cxy` can be resolved into linear factors if a, b, c are such that

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

If the expression ax^(2) + by^(2) + cz^(2) + 2 ayz + 2 bzx + 2 cxy can be resolved into rational factors, then a^(3) + b^(3) + c^(3) is equal to

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

IF ax^2+by^2+cz^2+2ayz+2bzx+2cxy is resolvable into two linear factors, prove that either a+b+c=0 or, a=b=c.

If 3x^(2) + 2alphaxy + 2y^(2) + 2ax - 4y+1 can be resolved into two linear factors, Prove that ' alpha ' is a root of the equation x^2 + 4ax + 2a^2 + 6 = 0

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