Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ x+5 }$.

$$ \left( \color{blue}{2x+6} \right) \cdot \left( \color{orangered}{x+5} \right) = 2x^2+16x+30 $$

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

$$ \begin{aligned} \left( \color{blue}{ 2x+6}\right) \cdot \left( \color{orangered}{ x+5}\right) &= \underbrace{ \color{blue}{2x} \cdot \color{orangered}{x} }_{\text{FIRST}} + \underbrace{ \color{blue}{2x} \cdot \color{orangered}{5} }_{\text{OUTER}} + \underbrace{ \color{blue}{6} \cdot \color{orangered}{x} }_{\text{INNER}} + \underbrace{ \color{blue}{6} \cdot \color{orangered}{5} }_{\text{LAST}} = \\ &= 2x^2 + 10x + 6x + 30 = \\ &= 2x^2 + 10x + 6x + 30 = \\ &= 2x^2+16x+30; \end{aligned} $$

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