If x ≠ 0 and (y^2 − xy)/x=y-x, which of the following expressions is equal to its opposite?

If x ≠ 0 and (y^2 − xy)/x=y-x, which of the following expressions is equal to its opposite?

Quiz

Answer/Solution

(x – y)^2

Steps/Work

(y^2 − xy)/x=y-x
=> y^2 − xy = xy -x^2
=> x^2 - 2xy + y^2 = 0
=> (x-y)^2 = 0
Answer E