Question

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

Answer 1

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

Step-by-step 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((10v^3-6v))/(2v) \\ 10v^3-6v=2v((10v^3)/(2v)-(6v)/(2v)) \\ 10v^3-6v=2v(5v^2-3) \end{gathered}`

I hope this helps you