Question

2x - 2y - x² + 2xy - y²

Answer 1

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

\(=(x-y)^3\)

Answer 2

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

Answer 3

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

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

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