因式分解（1）x^2+2xy-x-y+y^2-2 (2) x^2-2xy+3x-3y+y^2+2

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/16 21:26:16
因式分解（1）x^2+2xy-x-y+y^2-2 (2) x^2-2xy+3x-3y+y^2+2
xQN0 HH嫒 Q)' xdApbB ݂R?;~~]5uzڛnqnz^۹c -ܠQɕeKNϋ( z3_cfhh`PfAECFlH!pֈf=N68QҲBHpJc#"E"Y\4'gu|%ζ{! os z)acm%HbnOH b JqbL?~jLKg?S+UJ)7.'R<V}lhߩtkT#8[^vw[ߞ9P& K

因式分解（1）x^2+2xy-x-y+y^2-2 (2) x^2-2xy+3x-3y+y^2+2
因式分解（1）x^2+2xy-x-y+y^2-2 (2) x^2-2xy+3x-3y+y^2+2

因式分解（1）x^2+2xy-x-y+y^2-2 (2) x^2-2xy+3x-3y+y^2+2
1.x^2+2xy-x-y+y^2-2
=x^2-1+y^2-1+xy-x+xy-y
=(x+1)(x-1)+(y+1)(y-1)+x(y-1)+y(x-1)
=(x+y+1)(x-1)+(x+y+1)(y-1)=(x+y+1)(x+y-2)
2.x^2-2xy+3x-3y+y^2+2
=x^2-1+y^2-1+x-xy-y-xy+2x+2-2y+2
=(x+1)(x-1)+(y+1)(y-1)-x(y-1)-y(x+1)+2(x+1)-2(y-1)
=(x+1)(x-y+1)+(y-x-1)(y-1)=(x-y+1)(x-y+2)

（1）x^2+2xy-x-y+y^2-2
=x²+2xy+y²-x-y-2
=(x+y)²-(x+y)-2
=(x+y-2)(x+y+1)
(2) x^2-2xy+3x-3y+y^2+2
=x²-2xy+y²+3x-3y+2
=(x-y)²+3(x-y)+2
=(x-y+2)(x-y+1)

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

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

x^2+2xy+y^2-3x-3y+2
=(x+y)²-3(x+y)+2
=(x+y-1)(x+y-2)
十字相乘法
(x+y) -1
(x+y) -2

（x+y）(x-1)-xy-y^2 怎么因式分解? X^2（X+1）-Y（XY+X）因式分解 因式分解（x+2y^）-8xy 2xy+x+y=?(因式分解） (x-y)^2-(xy+1)因式分解 因式分解：x方y+2xy+y 因式分解 x(x-1)+y(y+1)-2xy 因式分解:X(X-1)+Y(Y+1)-2XY 因式分解 x方+y方-xy+2x-y+1 (xy-1)^2+(x+y-z)(x+y-zxy)因式分解 因式分解：x×x-xy-2y×y-x-y （xy-1）平方+（x+y-2xy）（x+y-2）因式分解 因式分解x^2y^2+x^2y+xy^2+3xy+x+y+1 (x+y)/x /(x-(2xy-y^2)/x) 因式分解 因式分解(xy-x^2)^3-x^3（y-x） y^3+xy^2+2xy+x^2-1 因式分解 因式分解xy²-2xy+x+2y-1 x^2-y^2-1+2y因式分解,-x^2-y^2+1-2xy因式分解