Question 200651
[ { X^2 -x -20} / {x^2-25} ] / [  {x^2 -16} / { x^2 -x -30} ]
.
As  with  fractions,  to  divide invert  and  multiply,,,a/b/c/d = a/b  *  d/c
.
[ { x^2 -x-20} / {x^2 -25}]  * [ { x^2 -x -30} / {x^2 -16} ]
.
factor  and  simplify  by  cancelling  like  terms
.
[ { (x-5)(x+4)} / { (x+5)(x-5) } ]  * [ { (x-6)(x+5) } / { ( x+4)(x-4)} ]
.
( x-6)  /  (x-4),,,,,answer
.
check,,  let  x=1,,,,in  original  =  1.5,,,,,,,in  answer  =  1.5,,,,,,ok