factorize :x2-2X+xy-2y
x(x-2) + y(x-2)
(x+y)(x-2)
To factorize the expression x^2 - 2x + xy - 2y, we can group the terms separately and factor them individually.
First, let's group the terms with x together and the terms with y together:
x^2 - 2x + xy - 2y
= (x^2 - 2x) + (xy - 2y)
Now, let's factor out the common terms from each group:
x(x - 2) + y(x - 2)
Notice that both terms in each group share a common factor of (x - 2). We can factor out (x - 2) from both terms:
(x - 2)(x + y)
Hence, the factored form of the expression x^2 - 2x + xy - 2y is (x - 2)(x + y).