Question

Phân tích đa thức thành nhân tử:

x2 + y2 - x2y2 + xy - x - y

Answer 1

x2 + y2 - x2y2 + xy - x - y = (x2-x) + (y2-y) + (-x2y2 + xy) = x(x+1) + y(y+1) + xy(xy+1) = ( x+ y+ xy)( x + 1 + y + 1 + xy + 1)

Answer 2

\(x^2+y^2-x^2y^2+xy-x-y\)

\(=\left(x^2-x\right)+\left(y^2-y\right)+ \left(-x^2y^2+xy\right)\)

\(=x\left(x+1\right)+y\left(y+1\right)+xy\left(xy+1\right)\)

\(=\left(x+y+xy\right)\left(x+1+y+1+xy+1\right)\)