Factor polynomial $$ 25r^{3}+15r^{2}-15r-9 $$
Answer
$$ 25r^{3}+15r^{2}-15r-9 = ( 5r^{2}-3 )( 5r+3 ) $$
Explanation
To factor $ 25r^{3}+15r^{2}-15r-9 $ we can use factoring by grouping:
Group $ \color{blue}{ 25x^{3} }$ with $ \color{blue}{ 15x^{2} }$ and $ \color{red}{ -15x }$ with $ \color{red}{ -9 }$ then factor each group.
$$ \begin{aligned} 25r^{3}+15r^{2}-15r-9 = ( \color{blue}{ 25x^{3}+15x^{2} } ) + ( \color{red}{ -15x-9 }) &= \\ &= \color{blue}{ 5x^{2}( 5x+3 )} + \color{red}{ -3( 5x+3 ) } = \\ &= (5x^{2}-3)(5x+3) \end{aligned} $$This page was created using
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