Factor polynomial $$ 15x^{2}-5xy+12xz-4yz $$

$$ 15x^{2}-5xy+12xz-4yz = (5x+4z)(3x-y) $$

To factor $ 15x^2-5xy+12xz-4yz $ we can use factoring by grouping.

Group $ \color{blue}{ 15x^2 }$ with $ \color{blue}{ -5xy }$ and $ \color{red}{ 12xz }$ with $ \color{red}{ -4yz }$ then factor each group.

$$ \begin{aligned} 15x^2-5xy+12xz-4yz &= ( \color{blue}{ 15x^2-5xy } ) + ( \color{red}{ 12xz-4yz }) = \\ &= \color{blue}{ 5x( 3x-y )} + \color{red}{ 4z( 3x-y ) } = \\ &= (5x+4z)(3x-y) \end{aligned} $$

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