Question

subtract.
\\(\frac{x}{x + 3} - \frac{2}{3x + 9}\\)
simplify your answer as much as possible.

Explanation:

Step1: Factor the denominator of the second fraction

Notice that \(3x + 9\) can be factored as \(3(x + 3)\). So the expression becomes \(\frac{x}{x + 3}-\frac{2}{3(x + 3)}\).

Step2: Find a common denominator

The common denominator of \(x + 3\) and \(3(x + 3)\) is \(3(x + 3)\). Rewrite the first fraction with this common denominator: \(\frac{x\times3}{3(x + 3)}-\frac{2}{3(x + 3)}\).

Step3: Subtract the numerators

Now that the denominators are the same, we subtract the numerators: \(\frac{3x-2}{3(x + 3)}\).

Answer:

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