Factor polynomial $$ 16m^{3}-12m^{2}+20m-15 $$
Answer
$$ 16m^{3}-12m^{2}+20m-15 = ( 4m^{2}+5 )( 4m-3 ) $$
Explanation
To factor $ 16m^{3}-12m^{2}+20m-15 $ we can use factoring by grouping:
Group $ \color{blue}{ 16x^{3} }$ with $ \color{blue}{ -12x^{2} }$ and $ \color{red}{ 20x }$ with $ \color{red}{ -15 }$ then factor each group.
$$ \begin{aligned} 16m^{3}-12m^{2}+20m-15 = ( \color{blue}{ 16x^{3}-12x^{2} } ) + ( \color{red}{ 20x-15 }) &= \\ &= \color{blue}{ 4x^{2}( 4x-3 )} + \color{red}{ 5( 4x-3 ) } = \\ &= (4x^{2}+5)(4x-3) \end{aligned} $$This page was created using
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