Question

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subtract the rational expressions.

\\\frac{2x - 1}{x^2 + 8x + 12} - \frac{x - 7}{x^2 + 8x + 12}\\

\\\frac{2x - 1}{x^2 + 8x + 12} - \frac{x - 7}{x^2 + 8x + 12} = \text{box} \quad \text{(simplify your answer.)}\\

Explanation:

Subtract the numerators

Using the Rational Expression Subtraction knowledge point

$$
LATEXBLOCK0
$$

Factor the denominator

Using the Factoring Quadratics knowledge point

$$ x^2+8x+12 = (x+6)(x+2) $$

Simplify the rational expression

Using the Simplifying Rational Expressions knowledge point

$$
LATEXBLOCK1
$$

Answer:

Subtract the rational expressions.

$$\frac{2x-1}{x^2+8x+12} - \frac{x-7}{x^2+8x+12} =$$

<blank>\(\frac{1}{x+2}\)</blank> (Simplify your answer.)