Question

分解因式:f(x,y,z)=x^2(y-z)+y^2(z-x)+z^2(x-y)

Answer 1

=x²(y-z)+y²(z-x)+z²(x-z+z-y)

=(y-z)(x²-z²)+(z-x)(y²-z²)

=(y-z)(x-z)[(x+z)-(y+z)]

=(y-z)(x-z)(x-y)