Question
Factor polynomial $$ uv+5u+v^{2}+5v $$
Answer
$$ uv+5u+v^{2}+5v = (u+v)(v+5) $$
Explanation
To factor $ uv+5u+v^2+5v $ we can use factoring by grouping.
Group $ \color{blue}{ uv }$ with $ \color{blue}{ 5u }$ and $ \color{red}{ v^2 }$ with $ \color{red}{ 5v }$ then factor each group.
$$ \begin{aligned} uv+5u+v^2+5v &= ( \color{blue}{ uv+5u } ) + ( \color{red}{ v^2+5v }) = \\ &= \color{blue}{ u( v+5 )} + \color{red}{ v( v+5 ) } = \\ &= (u+v)(v+5) \end{aligned} $$This page was created using
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