Question

study paths initial diagnostic: tx math bridge - stage 2 tx math br rational expressions progress: the movement of the progress bar may be uneven because questions can be worth more or le add. state the sum in simplest form. $-\frac{9}{x + 3} + \frac{x^2}{x + 3}, x \
eq -3$ $\frac{x - 3}{2}$ $-3(x + 3)$ $-3x(3 + x)$ $x - 3$ 64°f clear

Explanation:

Step1: Combine the fractions

Since the denominators are the same, add the numerators: $\frac{-9 + x^2}{x + 3}$

Step2: Rearrange the numerator

Rewrite as $\frac{x^2 - 9}{x + 3}$

Step3: Factor the numerator

$x^2 - 9$ is a difference of squares: $(x + 3)(x - 3)$

Step4: Simplify the fraction

Cancel $(x + 3)$ from numerator and denominator: $x - 3$ (since $x
eq -3$)

Answer:

D. $x - 3$