Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ 7x-2 }$.

$$ \left( \color{blue}{2x-1} \right) \cdot \left( \color{orangered}{7x-2} \right) = 14x^2-11x+2 $$

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

$$ \begin{aligned} \left( \color{blue}{ 2x-1}\right) \cdot \left( \color{orangered}{ 7x-2}\right) &= \underbrace{ \color{blue}{2x} \cdot \color{orangered}{7x} }_{\text{FIRST}} + \underbrace{ \color{blue}{2x} \cdot \left( \color{orangered}{-2} \right) }_{\text{OUTER}} + \underbrace{ \left( \color{blue}{-1} \right) \cdot \color{orangered}{7x} }_{\text{INNER}} + \underbrace{ \left( \color{blue}{-1} \right) \cdot \left( \color{orangered}{-2} \right) }_{\text{LAST}} = \\ &= 14x^2 + \left( -4x\right) + \left( -7x\right) + 2 = \\ &= 14x^2 + \left( -4x\right) + \left( -7x\right) + 2 = \\ &= 14x^2-11x+2; \end{aligned} $$

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