What is the simplified form of x-2 over x2+x-6 divided x2+5x+4 over x+4

X-2 over x2+x-6 divided x2+5x+4 over x+4 requires 2 factoring, canceling like factors, and inverting the divisor and multiplying.

(x-2) over (x+3) (x-2) divided by (x+4) (x+1) over (x+4) after factoring twice

canceling like factors

1 over (x+3) divided by (x+1) over 1

invert denominator and multiply

answer 1 over (x+3) (x+1)