Simplify each rational expression. State any restrictions on the variable.

x-3/x+4 : x^2-1/x

Show your work.

x-3/x+4 : x^2-1/x; x ≠ - 4, 0

Step-by-step explanation:

x-3/x+4 : x^2-1/x - -> x ≠ - 4, 0 (because the denominators would be 0 if x = - 4 or 0) - ->

(x-3) / (x-4) * x / (x^2-1) - ->

((x-3) (x)) / ((x-4) (x-1) (x+1)) - ->

No way to simplify it further-->

x-3/x+4 : x^2-1/x