重装机兵3扎格纳特密码:求助分解因式

来源:百度文库 编辑:查人人中国名人网 时间:2024/05/11 17:05:44
x平方y-xy平方+x立方-y立方(最好答案能详细点儿谢谢啦!!!!)

x^2*y-x*y^2+x^3-y^3

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

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

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

x^2y-xy^2+x^3-y^3
=xy(x-y)+(x-y)(x^2+xy+y^2)
=(x-y)(x+y)^2

yx^2-xy^2+x^3-y^3

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

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

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

因为x^3-y^3=(x-y)(x^2+xy+y^2)