What is the quotient in the simplest form? state any restrictions on the variable. x+2/x-1 divided by x+4/x^2+4x-5

X² + 4 x - 5 = x² + 5 x - x - 5 = x ( x + 5 ) - ( x + 5 ) = ( x + 5 ) ( x - 1 )
( x + 2 ) / ( x - 1 ) : ( x + 4 ) / ( x + 5 ) ( x - 1 ) =
= ( x + 2 ) / ( x - 1 ) * ( x + 5 ) ( x - 1 ) / ( x + 4 ) =
= ( x + 2 ) ( x + 5 ) / (  x + 4 )

Iwould say always for the both of them