Multiply polynomial $ \, \color{blue}{ 3x-5 } \, $ by $ \, \color{orangered}{ 2x+2 }$.

$$ \left( \color{blue}{3x-5} \right) \cdot \left( \color{orangered}{2x+2} \right) = 6x^2-4x-10 $$

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

$$ \begin{aligned} \left( \color{blue}{ 3x-5}\right) \cdot \left( \color{orangered}{ 2x+2}\right) &= \underbrace{ \color{blue}{3x} \cdot \color{orangered}{2x} }_{\text{FIRST}} + \underbrace{ \color{blue}{3x} \cdot \color{orangered}{2} }_{\text{OUTER}} + \underbrace{ \left( \color{blue}{-5} \right) \cdot \color{orangered}{2x} }_{\text{INNER}} + \underbrace{ \left( \color{blue}{-5} \right) \cdot \color{orangered}{2} }_{\text{LAST}} = \\ &= 6x^2 + 6x + \left( -10x\right) + \left( -10\right) = \\ &= 6x^2 + 6x + \left( -10x\right) + \left( -10\right) = \\ &= 6x^2-4x-10; \end{aligned} $$

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