a) \(-\left(-a+c-d\right)-\left(c-a+d\right)\)
\(=a-c+d-c+a-d\)
\(=2a-2c\)
b) \(-\left(a+b-c+d\right)+\left(a-b-c-d\right)\)
\(=-a-b+c-d+a-b-c-d\)
\(=-2b-2d\)
c) \(a\left(b-c-d\right)-a\left(b+c-d\right)\)
\(=ab-ac-ad-ab-ac+ad\)
\(=-2ac\)
d) \(\left(a-b\right)+\left(c-d\right)+\left(a+c\right)-\left(b+d\right)\)
\(=a-b+c-d+a+c-b-d\)
\(=2a-2b+2c-2d\)