(X3-2x2y+xy2)÷(x3-xy2)要求约分

问题描述:

(X3-2x2y+xy2)÷(x3-xy2)要求约分

X3-2X2Y2+XY2/X3-(X3-2X2Y+XY2/X3-Y2)

(X3-2x2y+xy2)÷(x3-xy2)=(x2-2xy+y2)/(x2-y2)=(x-y)2/(x-y)(x+y)=(x-y)/(x+y)

=(x-y)÷(x+y)

(X2-2xy+y2)÷(x2-y2)=x-y/x+y

(X3-2x2y+xy2)÷(x3-xy2)
=x(x2-2xy+y2)/[x(x2-y2)]
=(x-y)2/[(x-y)(x+y)]
=(x-y)/(x+y)