Factor polynomial $$ 25r^{3}+30r^{2}-30r-36 $$
Answer
$$ 25r^{3}+30r^{2}-30r-36 = ( 5r^{2}-6 )( 5r+6 ) $$
Explanation
To factor $ 25r^{3}+30r^{2}-30r-36 $ we can use factoring by grouping:
Group $ \color{blue}{ 25x^{3} }$ with $ \color{blue}{ 30x^{2} }$ and $ \color{red}{ -30x }$ with $ \color{red}{ -36 }$ then factor each group.
$$ \begin{aligned} 25r^{3}+30r^{2}-30r-36 = ( \color{blue}{ 25x^{3}+30x^{2} } ) + ( \color{red}{ -30x-36 }) &= \\ &= \color{blue}{ 5x^{2}( 5x+6 )} + \color{red}{ -6( 5x+6 ) } = \\ &= (5x^{2}-6)(5x+6) \end{aligned} $$This page was created using
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