Question

Y^2 +xy-2x -4y +4 

 

Answer 1

\(y^2+xy-2x-4y+4\)

\(=\left(y^2-4y+4\right)+\left(xy-2x\right)\)

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

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

Answer 2

\(=\left(y^2-4y+4\right)+\left(xy-2x\right)=\left(y-2\right)^2+x\left(y-2\right)\)

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