Answer:
3x - 1
Step-by-step explanation:
Factorise the numerator
3x² + 5x - 2 = (x + 2)(3x - 1), then expression becomes
[tex]\frac{(x+2)(3x-1)}{x+2}[/tex] ← cancel (x + 2) on numerator/ denominator
= 3x - 1