Question

Phân tích đa thức thành nhân tử:

x² + y² - x²y² + xy - x - y

Answer 1

x² + y² - x²y² + xy - x - y

=(x²-x²y²)+(y²-y)+(xy-x) 

=x²(1-y)(1+y)-y(1-y)-x(1-y)

=(1-y)(x²+x²y-x-y)

=(1-y)[(x²-y)+(x²-x)]

=(1-y)[y(x-1)(x+1)+x(x-1)]

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

Answer 2

x^2+y^2-x^2y^2+xy-x-y

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