分解因式：x^3-xyz+x^2y-x^2z
问题描述：
分解因式：x^3-xyz+x^2y-x^2z
答
您好：
x^3-xyz+x^2y-x^2z
=(x^3+x^2y)-(xyz+x^2z)
=x^2(x+y)-xz(x+y)
=x(x+y)(x-z)
谢谢！
答
x^3-xyz+x^2y-x^2z
=x(x^2-yz+xy-xz)
=x[(x^2-xz)+(xy-yz)]
=x[x(x-z)+y(x-z)]
=x(x-z)(x+y)
答
x(x^2-yz+xy-xz)
=x(x(x+y)-z(x+y))
=x(x+y)(x-z)
答
x^3-xyz+x^2y-x^2z
=x^2(x-z)+xy(x-z)
=(x-z)(x^2+9xy)
=x(x-z)(x+y)