Evaluate the rational expression below at $x=2$
$\frac{x^2-4}{x^2-x-6}$

• A. $\infty$
• B. $0$
• C. $\frac{1}{2}$
• D. $\frac{2}{3}$

Answer: (B)

Verified step by step guidance

1. Start by writing down the given rational expression: \(\frac{x^2 - 4}{x^2 - x - 6}\).
2. Substitute the value \(x = 2\) into the expression, so it becomes \(\frac{2^2 - 4}{2^2 - 2 - 6}\).
3. Calculate the numerator by evaluating \$2^2 - 4$, which means square 2 and then subtract 4.
4. Calculate the denominator by evaluating \$2^2 - 2 - 6$, which means square 2, subtract 2, and then subtract 6.
5. Finally, write the fraction with the evaluated numerator and denominator, and simplify the fraction if possible.