Factor x 2 + xy - 2x - 2y. (x + 2) (x - y) (x + y) (x - 2) (x - y) (x + 2)

X² + xy - 2x - 2y

The first thing would be to break the polynomial up into pairs.

(x² + xy) + (-2x - 2y)

Then you can factor them individually.

(x² + xy)

Both numbers have x in common, so you can factor it out and get

x (x + y)

Then you factor the other pair,

(-2x - 2y)

Both numbers have - 2 in them, so you can factor it out and get

-2 (x + y)

Now your two pairs are

[x (x + y) ] and [-2 (x + y) ]

Notice that the two terms in parentheses are the same, so you can get rid of one and combine the two outside terms to get a final answer of

(x - 2) (x + y)