Question
Factor polynomial $$ 2x-10+xy-5y $$
Answer
$$ 2x-10+xy-5y = (2+y)(x-5) $$
Explanation
To factor $ 2x-10+xy-5y $ we can use factoring by grouping.
Group $ \color{blue}{ 2x }$ with $ \color{blue}{ -10 }$ and $ \color{red}{ xy }$ with $ \color{red}{ -5y }$ then factor each group.
$$ \begin{aligned} 2x-10+xy-5y &= ( \color{blue}{ 2x-10 } ) + ( \color{red}{ xy-5y }) = \\ &= \color{blue}{ 2( x-5 )} + \color{red}{ y( x-5 ) } = \\ &= (2+y)(x-5) \end{aligned} $$This page was created using
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