Multiply polynomial $ \, \color{blue}{ 4x+2 } \, $ by $ \, \color{orangered}{ 6x-4 }$.

$$ \left( \color{blue}{4x+2} \right) \cdot \left( \color{orangered}{6x-4} \right) = 24x^2-4x-8 $$

In this example we are multiplying two binomials so FOIL method can be used.

$$ \begin{aligned} \left( \color{blue}{ 4x+2}\right) \cdot \left( \color{orangered}{ 6x-4}\right) &= \underbrace{ \color{blue}{4x} \cdot \color{orangered}{6x} }_{\text{FIRST}} + \underbrace{ \color{blue}{4x} \cdot \left( \color{orangered}{-4} \right) }_{\text{OUTER}} + \underbrace{ \color{blue}{2} \cdot \color{orangered}{6x} }_{\text{INNER}} + \underbrace{ \color{blue}{2} \cdot \left( \color{orangered}{-4} \right) }_{\text{LAST}} = \\ &= 24x^2 + \left( -16x\right) + 12x + \left( -8\right) = \\ &= 24x^2 + \left( -16x\right) + 12x + \left( -8\right) = \\ &= 24x^2-4x-8; \end{aligned} $$

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