factorize `(x^2-y^2+z^2-a^2+2(x z+a y)`

Factors of -5x^2 y^2 z are

Using factor theorem, show that x-y,y-z,z-x are the factors of x^2(y-z)+y^2(z-x)+z^2(x-y)

Resolve into factors x(y^2-z^2)+y(z^2-x^2)+z(x^2-y^2)

Using factor theorem, prove that x-y is a factor of x(y^2-z^2)+y(z^2-x^2)+z(x^2-y^2)

Resolve into factors 4x^2(y-z)+y^2(2x-z)+z^2(2x+y)-4xyz

Factorization by taking out the common factors: x(x^(2)+y^(2)-z^(2))+y(-x^(2)-y^(2)+z^(2))-z(x^(2)+y^(2)-z^(2))

Resolve into factors x(y^2+z^2)-y(z^2+x^2)-z(x^2+y^2)+2xyz

Resolve into factors x^4(y^2-z^2)+y^4(z^2-x^2)+z^4(x^2-y^2)