Answer:
(x-y)(x+2)
Explanation:
Step 1: Copy the expression.
x^2-xy+2x-2y
Step 2: Group the expression by its common variable.
(x^2+2x)-(xy+2y)
Step 3: Factor out the common variable.
x(x+2)-y(x+2)
Step 4: Simplify
(x-y)(x+2)
Step 5: Check using FOIL Method (or any method you want).
(x-y)(x+2)
F - x^2
O - 2x
I - -xy
L - -2y
Step 6: Arrange the expression.
x^2-xy+2x-2y (the same from the initial expression, therefore the factor (x-y)(x+2) is correct as it yields the same expression given earlier.)
