Question: (\[ \frac{x^2 + 4x}{3x + 12} \]\)…

\(\[ \frac{x^2 + 4x}{3x + 12} \]\)

Solution

Step 1: Factor the numerator and the denominator. \[ \frac{x^2 + 4x}{3x + 12} = \frac{x(x + 4)}{3(x + 4)} \] Step 2: Simplify by cancelling \((x + 4)\). \[ \frac{x(x + 4)}{3(x + 4)} = \frac{x}{3} \] The simplified expression is \(\frac{x}{3}\).