What is the quotient in simplest form? state any restrictions on the variable

Question

x^2/x+4 divided by x-2/x^2+x-12

Answer 1

I bet you meant:

x^2/(x+4) ÷ ( (x-2)/(x^2+x-12) )
= x^2/(x+4) * (x+4)(x-3)/(x-2)
= x^2(x-3)/(x-2) , x ≠ -4,2