Question

(x - y)2 - (x + y) * (x - y) ​

Answer 1

Ответ:

(x-y)*(2-x-y)

Разложение на множители.

Answer 2

Let's simplify the expression step by step:

Given expression: (x - y)^2 - (x + y) * (x - y)

Step 1: Expand the square term (x - y)^2: (x - y)^2 = x^2 - 2xy + y^2

Step 2: Expand the product (x + y) * (x - y): (x + y) * (x - y) = x^2 - xy + xy - y^2 = x^2 - y^2

Now, let's substitute the expanded terms back into the original expression:

(x - y)^2 - (x + y) * (x - y) = (x^2 - 2xy + y^2) - (x^2 - y^2)

Step 3: Distribute the negative sign to both terms inside the parentheses: = x^2 - 2xy + y^2 - x^2 + y^2

Step 4: Combine like terms: = -2xy + 2y^2

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