Question

Сократить (2x^2-2y^2)/(y^2-2xy+x^2)=

Answer 1

=-2(у-х)(у+х)\(у-х)(у-х)=-2(у+х)\у-х

Answer 2

(2x^2-2y^2)/(y^2-2xy+x^2)=0

Answer 3

To simplify the expression (2x^2 - 2y^2) / (y^2 - 2xy + x^2), we can factor the numerator and denominator and then cancel out any common factors.

Step 1: Factor the numerator and denominator. Numerator: 2x^2 - 2y^2 = 2(x^2 - y^2) = 2(x + y)(x - y) Denominator: y^2 - 2xy + x^2 = (y - x)^2

Step 2: Cancel out the common factor. Now, we can cancel out the common factor (x - y) from the numerator and denominator:

(2x + 2y) / (y - x)^2

So, the simplified expression is (2x + 2y) / (y - x)^2.