=>

Since xy < 0 and y/z > 0, x and y have different signs, and y and z have the same sign. Then we have xy < 0, yz > 0 and xz < 0.
|xy-yz| - \(\sqrt{\left(yz-xz\right)^2}\) + |xy| + \(\sqrt{\left(xz\right)^2}\)
= |xy – yz| - |yz – xz| + |xy| + |xz|
= -(xy - yz) – (yz - xz) – xy – xz, since xy - yz < 0, yz - xz >0, xy < 0 and xz < 0
= -xy + yz – yz + xz – xy – xz
= -2xy

Therefore, D is the answer.
Answer: D