Question

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

Answer 1

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

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

= (x - 2(x + y)

Answer 2

`(x- 2)(x+y)`

Explanation:

`x^2 + xy - 2x - 2y`

We are given with 4 terms. so use grouping method for factoring. To factor the given expression we take out GCF

`x^2- 2x +xy - 2y`

we group first two terms and last two terms

then take out GCF from each group

`x(x-2) +y(x-2)`

Now take out common factor x-2

`(x- 2)(x+y)`