Question

How would you factor x^2+2x-xy-2y

Answer 1

\(\bf x^2+2x-xy-2y\implies (x^2+2x)-(xy+2y)\quad \textit{taking common factors}
\\ \quad \\
x{\color{blue}{ (x+2)}}-y{\color{blue}{ (x+2)}}\)

take common factors again, see what you get, see any common factors?