How do you factor the polynomials xy-2x-2+y?

Nov 26, 2016

Answer:

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

Explanation:

This factors by grouping:

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

$\textcolor{w h i t e}{x y - 2 x - 2 + y} = x \left(y - 2\right) + 1 \left(y - 2\right)$

$\textcolor{w h i t e}{x y - 2 x - 2 + y} = \left(x + 1\right) \left(y - 2\right)$