Answer
$\frac{(x+9)}{(x-1)}$
Work Step by Step
$\frac{x^2+11x+18}{x^2+x-2} = \frac{x^2+9x+2x+18}{x^2-x+2x-2} = \frac{x(x+9)+2(x+9)}{x(x-1)+2(x-1)} = \frac{(x+9)(x+2)}{(x+2)(x-1)} = \frac{(x+9)}{(x-1)}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.