( (2x^2 - 8) / (x^2 - 25) ) / ( (4-2x) / (x+5) )
( 2(x^2 -4) / (x-5)(x+5) ) / ( -2(x-2) / (x+5) )
( 2(x-2)(x+2) / (x-5)(x+5) ) / ( -2(x-2) / (x+5) )
( 2(x-2)(x+2) / (x-5)(x+5) ) * ( (x+5) / (-2(x-2) )
The 2's cancel and the - comes out front
-( (x-2)(x+2) / (x-5)(x+5) ) * ( (x+5) / (x-2) )
The x+5's cancel and the x-2's cancel
-( (x+2) / (x-5) ) * ( 1/1)
-(x+2) / (x-5)