Final answer:
To simplify the expression (3x²+5x-2) / (3x²-13x+4), factor the numerator and denominator if possible. Cancel out any common factors between the numerator and denominator to obtain the simplified expression (3x+2) / (3x-1).
Step-by-step explanation:
To simplify the expression (3x²+5x-2) / (3x²-13x+4), we can factor both the numerator and denominator, if possible. The numerator cannot be factored further, but the denominator can be factored as (3x-1)(x-4). Now, we can cancel out any common factors between the numerator and denominator, leaving us with (3x+2) / (3x-1).