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1 Answer

( (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)
by Level 13 User (103k points)

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