Question
Factor polynomial $$ 8x+8y+x^{2}+xy $$
Answer
$$ 8x+8y+x^{2}+xy = (8+x)(x+y) $$
Explanation
To factor $ 8x+8y+x^2+xy $ we can use factoring by grouping.
Group $ \color{blue}{ 8x }$ with $ \color{blue}{ 8y }$ and $ \color{red}{ x^2 }$ with $ \color{red}{ xy }$ then factor each group.
$$ \begin{aligned} 8x+8y+x^2+xy &= ( \color{blue}{ 8x+8y } ) + ( \color{red}{ x^2+xy }) = \\ &= \color{blue}{ 8( x+y )} + \color{red}{ x( x+y ) } = \\ &= (8+x)(x+y) \end{aligned} $$This page was created using
Polynomial Factoring Calculator