Question

factor out the greatest common factor.10v^3-6v

Answer 1

$2v(5v^2-3)$

Explanation

$10v^3-6v$

Step 1

Find the GCF

factorize each term

$\begin{gathered} 10v^3-6v \\ 10=5v\cdot2v \\ 6=3\cdot2v \\ so,\text{ the GCF is 2}v \end{gathered}$

Step 2

divide each term by the GFC, and multiply to not modify the expression

$\begin{gathered} 10v^3-6v\rightarrow2v\frac{(10v^3-6v)}{2v} \\ 10v^3-6v=2v(\frac{10v^3}{2v}-\frac{6v}{2v}) \\ 10v^3-6v=2v(5v^2-3) \end{gathered}$

I hope this helps you