Questions: Simplify. 18(v+2)(3 v-7)/6(v+2)(3 v-7)

Solution Steps

To simplify the given rational expression, we need to identify and cancel out common factors in the numerator and the denominator. In this case, the common factors are \((v+2)\) and \((3v-7)\). After canceling these common factors, we simplify the expression to its simplest form.

We start with the rational expression given by:

\[ \frac{18(v+2)(3v-7)}{6(v+2)(3v-7)} \]

In both the numerator and the denominator, we can identify the common factors \((v+2)\) and \((3v-7)\). Thus, we can rewrite the expression as:

\[ \frac{18 \cdot (v+2) \cdot (3v-7)}{6 \cdot (v+2) \cdot (3v-7)} = \frac{18}{6} \]

Now, we simplify the fraction:

\[ \frac{18}{6} = 3 \]

Final Answer