Respuesta :

factor by groupins
x^2 + xy - 2x - 2y

= x(x + y) - 2(x + y)

= (x - 2(x + y)

Answer:

[tex](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]