求(1+y)-2x(1+y)+x(1-y)

求(1+y)-2x(1+y)+x(1-y)


(1+y)-2x(1+y)+x(1-y)
=1+y-2x-2xy+x-xy
=1+y-3x-3xy
=(1+y)(1-3x)



因式分解:x2(y2-1)+2x(y2-1)+(y2-1).


x2(y2-1)+2x(y2-1)+(y2-1),=(y2-1)(x2+2x+1),=(y2-1)(x+1)2,=(y+1)(y-1)(x+1)2.



2x-x^2+y^2-1,因式分解


2x-x^2+y^2-1
=y^2-(x-1)^2
=(y+x-1)(y-x+1)