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