Simplifying Rational Expressions

Medium Advanced Math Rational Expressions

Consider the rational expression:

$$ f(x) = \frac{2x^2 - 8}{x^2 - 4} $$

Factor the numerator and the denominator completely and then simplify the expression. What is the simplified form of the rational expression?

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

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

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

$$ 2 $$

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