Question
Factor polynomial $$ 10m^{3}-10m^{2}-m+1 $$
Answer
$$ 10m^{3}-10m^{2}-m+1 = ( 10m^{2}-1 )( m-1 ) $$
Explanation
To factor $ 10m^{3}-10m^{2}-m+1 $ we can use factoring by grouping:
Group $ \color{blue}{ 10x^{3} }$ with $ \color{blue}{ -10x^{2} }$ and $ \color{red}{ -x }$ with $ \color{red}{ 1 }$ then factor each group.
$$ \begin{aligned} 10m^{3}-10m^{2}-m+1 = ( \color{blue}{ 10x^{3}-10x^{2} } ) + ( \color{red}{ -x+1 }) &= \\ &= \color{blue}{ 10x^{2}( x-1 )} + \color{red}{ -1( x-1 ) } = \\ &= (10x^{2}-1)(x-1) \end{aligned} $$This page was created using
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