因式分解：x^4-2x^4y+x^4y^2-2x^2+y^2-2x^2y^2+2y+1

来源：学生作业帮助网编辑：作业帮时间：2024/05/01 05:36:05

x��)�{:{��=�O;�^,_�~Ϭ�8]# Q� "�@#mHkUj�$铩S��Ά[IPj��P�(��5�s 5q)5ʁL�� iå��| �+t�.��$��0Hi�UU�ܡ�f,\�8�H�FE�n� qF�J�*t+u�,m�:��<;P\��

因式分解：x^4-2x^4y+x^4y^2-2x^2+y^2-2x^2y^2+2y+1
因式分解：x^4-2x^4y+x^4y^2-2x^2+y^2-2x^2y^2+2y+1

因式分解：x^4-2x^4y+x^4y^2-2x^2+y^2-2x^2y^2+2y+1
x^4-2x^4y+x^4y^2-2x^2+y^2-2x^2y^2+2y+1
=x^4y^2-2x^2y^2+y^2-2x^4y+2y+x^4-2x^2+1
=y^2(x^4-2x^2+1)-2y(x^4-1)+x^4-2x^2+1
=y^2(x^2-1)^2-2y(x^2+1)(x^2-1)+(x^2-1)^2
=(x^2-1)(x^2y^2-y^2-2x^2y-2y+x^2-1)
=(x^2-1)[x^2(y^2-2y+1)-(y^2+2y+1)]
=(x-1)(x+1)[(xy-x)^2-(y+1)^2]
=(x-1)(x+1)(xy-x-y-1)(xy-x+y+1)

4x(y-x)-y^2因式分解因式分解：4x(y-x)-y^2 x(x-y)+4(y-x)因式分解因式分解x²y-4y因式分解（y-x)+x(x-y)^3-(y-x)^4 因式分解因式分解x^6-x^2y^4 (x-y)(x-y+4)+4因式分解 4x*3-4x*2y-(x-y)因式分解 (x+2)(x-2)-4y(x-y)因式分解是多少因式分解：4x(y-x)-y² (x-y)^3-(x-y)^4 因式分解 (x-y)^3+4(y-x)因式分解因式分解:(x+y)-4(x+y-1) 5x(x-y)-(4Y-x)^2因式分解 x^2y-4y因式分解 x^2y-4y因式分解把4（x-y+1)+y(y-2x)因式分解 y(y+2)+4x(x-y-1)因式分解是多少