xy(x-y)+yz(y-z)+zx(z-x)=y[x(x-y)+z(y-z)]+zx(z-x)=y[x^2-xy+zy-z^2]+zx(z-x)=y[x^2-z^2+zy-xy]+zx(z-x)=y[(x-z)(x+z)+y(z-x)]+zx(z-x)=(z-x)[-y(x+z)+y^2+zx]=(z-x)(y^2-xy-yz+zx)=(z-x)[y(y-z)-x(y-z)]=(z-x)(y-z...
xy(x-y)+yz(y-z)+zx(z-x)因式分解
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