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

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

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