Answer:
[tex] \large \boxed{(x- 2)(x+y)}[/tex]
Step-by-step explanation:
[tex] {x}^{2} + xy - 2x - 2y[/tex]
We are given with 4 terms. so use grouping method for factoring. To factor the given expression we take out GCF
[tex]x^2- 2x +xy - 2y[/tex]
we group first two terms and last two terms
then take out GCF from each group
[tex]x(x-2) +y(x-2)[/tex]
Now take out common factor x-2
[tex](x- 2)(x+y)[/tex]
