Question

phân tích thành nhân tử :

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

mn giúp em vs mai em học r hic

Answer 1

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

\(=\left(x+y\right)\left(x-1\right)+y^2\left(1-x^2\right)\)

\(=\left(x+y\right)\left(x-1\right)-y^2\left(x-1\right)\left(x+1\right)\)

\(=\left(x-1\right)\left(x+y-y^2x-y^2\right)\)

\(=\left(x-1\right)\cdot\left[x\left(1-y\right)\left(1+y\right)+y\left(1-y\right)\right]\)

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