Question
Factor polynomial $$ 2vw+v+12w+6 $$
Answer
$$ 2vw+v+12w+6 = (v+6)(2w+1) $$
Explanation
To factor $ 2vw+v+12w+6 $ we can use factoring by grouping.
Group $ \color{blue}{ 2vw }$ with $ \color{blue}{ v }$ and $ \color{red}{ 12w }$ with $ \color{red}{ 6 }$ then factor each group.
$$ \begin{aligned} 2vw+v+12w+6 &= ( \color{blue}{ 2vw+v } ) + ( \color{red}{ 12w+6 }) = \\ &= \color{blue}{ v( 2w+1 )} + \color{red}{ 6( 2w+1 ) } = \\ &= (v+6)(2w+1) \end{aligned} $$This page was created using
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