xy加y的平方加x减y减2 和x的三次加x减二 如何因式分解?

x平方y平方加xy减x平方y平方加x加y加2因式分解~

(x²y²+xy)(x²y²+xy+2)
还要怎么分解 ？

x的3次方减x的2次方y减xy的2次方加y的三次方
=x²(x-y)-y²(x-y)
=(x-y)(x²-y²)
=(x+y)(x-y)²

1 XY+Y方+X-Y-2=X(Y+1)+Y(Y+1)-2Y-2=(X+Y)(Y+1)-2(Y+1)=X+Y-2)(Y+1) 2 X立方+X-2=X立方-1+X-1=(X-1)(X方+X+1)+(X-1)==(X-1)(X方+X+2)

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

题2
=x^3-1+x-1=(x-1)*(x^2+x+1)+x-1=(x-1)*(x^2+x+2) 备注：x^3-y^3=(x-y)(x^2+xy+y^2)