Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ 6x+1 }$.

$$ \left( \color{blue}{2x+5} \right) \cdot \left( \color{orangered}{6x+1} \right) = 12x^2+32x+5 $$

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

$$ \begin{aligned} \left( \color{blue}{ 2x+5}\right) \cdot \left( \color{orangered}{ 6x+1}\right) &= \underbrace{ \color{blue}{2x} \cdot \color{orangered}{6x} }_{\text{FIRST}} + \underbrace{ \color{blue}{2x} \cdot \color{orangered}{1} }_{\text{OUTER}} + \underbrace{ \color{blue}{5} \cdot \color{orangered}{6x} }_{\text{INNER}} + \underbrace{ \color{blue}{5} \cdot \color{orangered}{1} }_{\text{LAST}} = \\ &= 12x^2 + 2x + 30x + 5 = \\ &= 12x^2 + 2x + 30x + 5 = \\ &= 12x^2+32x+5; \end{aligned} $$

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