Question

Factor x² + xy-2x-2y.​

Answer 1

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

Step-by-step explanation:

x² + xy-2x-2y=

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

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

Answer 2

Answer:

$\large \boxed{(x- 2)(x+y)}$

Step-by-step 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

$(x- 2)(x+y)$