Factor polynomial $$ 28x^{2}+8xy^{2}+21wx+6wy^{2} $$

$$ 28x^{2}+8xy^{2}+21wx+6wy^{2} = (4x+3w)(7x+2y^{2}) $$

To factor $ 28x^2+8xy^2+21wx+6wy^2 $ we can use factoring by grouping.

Group $ \color{blue}{ 28x^2 }$ with $ \color{blue}{ 8xy^2 }$ and $ \color{red}{ 21wx }$ with $ \color{red}{ 6wy^2 }$ then factor each group.

$$ \begin{aligned} 28x^2+8xy^2+21wx+6wy^2 &= ( \color{blue}{ 28x^2+8xy^2 } ) + ( \color{red}{ 21wx+6wy^2 }) = \\ &= \color{blue}{ 4x( 7x+2y^2 )} + \color{red}{ 3w( 7x+2y^2 ) } = \\ &= (4x+3w)(7x+2y^2) \end{aligned} $$

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