Question

Factor: x²-xy-3x+2+2y

Answer 1

Given the expression:

$x^{2}-xy-3x+2+2y​$

We will factor the expression as follows:

$\begin{gathered} x^{2}-xy-3x+2+2y​ \\ =(x^2-3x+2)+(-xy+2y) \\ =(x-2)\cdot(x-1)-y(x-2) \\ =(x-2)\cdot(x-y-1) \end{gathered}$

so, the answer will be:

$(x-2)(x-y-1)$