Question

Factor x² + xy-2x-2y.​

Answer 1

Answer: (x-2)(x+y)

Explanation:

x² + xy-2x-2y=

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

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

Answer 2

`\large \boxed{(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)`