Factor polynomial $$ 10x^{2}+2xy-15x-3y $$
Answer
$$ 10x^{2}+2xy-15x-3y = (2x-3)(5x+y) $$
Explanation
To factor $ 10x^2+2xy-15x-3y $ we can use factoring by grouping.
Group $ \color{blue}{ 10x^2 }$ with $ \color{blue}{ 2xy }$ and $ \color{red}{ -15x }$ with $ \color{red}{ -3y }$ then factor each group.
$$ \begin{aligned} 10x^2+2xy-15x-3y &= ( \color{blue}{ 10x^2+2xy } ) + ( \color{red}{ -15x-3y }) = \\ &= \color{blue}{ 2x( 5x+y )} \color{red}{ -3( 5x+y ) } = \\ &= (2x-3)(5x+y) \end{aligned} $$This page was created using
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