Answer
$\displaystyle \frac{2x^{2}+3x-9}{x^{2}-x-2}$
Work Step by Step
... Nothing (no common factors) to reduce...
Numerator:
$(2x-3)(x+3)=$...FOIL...$=2x^{2}+6x-3x-9$
$=2x^{2}+3x-9$
Denominator:
$(x-2)(x+1)$= ...FOIL... = $x^{2}+x-2x-2$
$=x^{2}-x-2$
Answer: $\displaystyle \frac{2x^{2}+3x-9}{x^{2}-x-2}$
