x^2(x^2-y^2)+z^2(y^2-x^2)

x^2(x^2-y^2)+z^2(y^2-x^2)
=x^2(x^2-y^2)-z^2(x^2-y^2)
=(x^2-z^2)*(x^2-y^2)
=(x+z)*(x-z)*(x+y)*(x-y)

x^2(x^2-y^2)+z^2(y^2-x^2)
=x^2(x^2-y^2)-z^2(-y^2+x^2)
=(x^2-y^2)(x^2-z^2)
=(x-y)(x+y)(x-z)(x+z)
用的是完全平方和公式和平方差公式

x^2(x^2-y^2)+z^2(y^2-x^2)
=x^2(x^2-y^2)-z^2(-y^2+x^2)
=(x^2-y^2)(x^2-z^2)
=(x-y)(x+y)(x-z)(x+z)

“^” 代表什么运算？？？我按平方理解了啊
x^2(x^2-y^2)+z^2(y^2-x^2)=（x^2-z^2）(x^2-y^2）=(x+z)(x-z)(x+y)(x-y)