Step 1 :Factor out 3 from the numerator and 6 from the denominator: \(\frac{3(x^2 + x - 2)}{6(x^2 + 3x + 2)}\)
Step 2 :Cancel the common factor of 3: \(\frac{x^2 + x - 2}{2(x^2 + 3x + 2)}\)
Step 3 :Factor the numerator and denominator: \(\frac{(x - 1)(x + 2)}{2(x + 1)(x + 2)}\)
Step 4 :Cancel the common factor of (x+2): \(\frac{x - 1}{2(x+1)}\)