Question

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

Answer 1

(x-y)×(x-y-(x+y))
(x-y)×(x-y-x-y)
(x-y)×(-2y)
-2y×(x-y)

Answer 2

Let's simplify the expression step by step:

1. Factor out the common term (x-y): (x - y)^2 - (x - y)(x + y)

2. Take (x - y) as a common factor: (x - y)((x - y) - (x + y))

3. Simplify the terms inside the parenthesis: (x - y)(x - y - x - y)

4. Combine like terms inside the parenthesis: (x - y)(-2y)

5. Multiply the remaining terms: -2xy + 2y^2

So the simplified expression is: -2xy + 2y^2.