Question

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

Answer 1

(x+2)(x+4)/(x+5);
`\\eq`1,-4,-5.

taken test and got right

Answer 2

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 )