Question

simplify.\\(
\frac{6(v - 6)(3v + 2)}{36(3v + 2)}
\\)you may leave the numerator and denominator

Explanation:

Step1: Cancel common factors

First, notice that \((3v + 2)\) is a common factor in the numerator and the denominator, so we can cancel it (assuming \(3v+2
eq0\)). Also, 6 and 36 have a common factor of 6.
So, \(\frac{6(v - 6)(3v + 2)}{36(3v + 2)}=\frac{6\div6\times(v - 6)\times(3v + 2)\div(3v + 2)}{36\div6\times(3v + 2)\div(3v + 2)}\)

Step2: Simplify the remaining terms

After canceling, we have \(\frac{v - 6}{6}\) (since \(6\div6 = 1\), \((3v + 2)\div(3v + 2)=1\) and \(36\div6 = 6\)).

Answer:

\(\frac{v - 6}{6}\)