Answer: To simplify the given expression, let's break it down step by step:
\[ \frac{3x - 3}{x^2 + x - 2} \cdot \frac{4x + 8}{6x + 18} \]
Factor the denominators and numerators where possible:
\[ \frac{3(x - 1)}{(x + 2)(x - 1)} \cdot \frac{4(x + 2)}{6(x + 3)} \]
Now, cancel out common factors in the numerators and denominators:
\[ \frac{3}{x + 2} \cdot \frac{4}{3} \]
Simplify the fractions and cancel common factors:
\[ \frac{4}{x + 2} \]
The simplified expression is:
\[ \frac{4}{x + 2} \]
The correct option is: d. \( \frac{4}{x + 2} \)
Explanation: