Factor polynomial $$ 8h^{3}-8h^{2}+3h-3 $$
Answer
$$ 8h^{3}-8h^{2}+3h-3 = ( 8h^{2}+3 )( h-1 ) $$
Explanation
To factor $ 8h^{3}-8h^{2}+3h-3 $ we can use factoring by grouping:
Group $ \color{blue}{ 8x^{3} }$ with $ \color{blue}{ -8x^{2} }$ and $ \color{red}{ 3x }$ with $ \color{red}{ -3 }$ then factor each group.
$$ \begin{aligned} 8h^{3}-8h^{2}+3h-3 = ( \color{blue}{ 8x^{3}-8x^{2} } ) + ( \color{red}{ 3x-3 }) &= \\ &= \color{blue}{ 8x^{2}( x-1 )} + \color{red}{ 3( x-1 ) } = \\ &= (8x^{2}+3)(x-1) \end{aligned} $$This page was created using
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