Question

$$\frac{9(x + 2)(x + 3)}{15(x + 3)(x - 5)}$$ options: $\frac{3(x + 2)}{5(x - 5)}$, $\frac{9}{15}$, $\frac{x + 2}{x - 5}$, $\frac{3}{5}$

Explanation:

Step1: Simplify numerical coefficients

$\frac{9}{15} = \frac{3}{5}$

Step2: Cancel common binomial factors

$\frac{(x+2)}{(x+2)} = 1$, $\frac{(x+3)}{(x+3)} = 1$

Step3: Combine simplified terms

$\frac{3}{5} \times 1 \times 1 = \frac{3(x+2)}{5(x-5)}$

Answer:

$\frac{3(x+2)}{5(x-5)}$