Multiply polynomial $ \, \color{blue}{ 8x-6 } \, $ by $ \, \color{orangered}{ 3x-2 }$.

$$ \left( \color{blue}{8x-6} \right) \cdot \left( \color{orangered}{3x-2} \right) = 24x^2-34x+12 $$

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

$$ \begin{aligned} \left( \color{blue}{ 8x-6}\right) \cdot \left( \color{orangered}{ 3x-2}\right) &= \underbrace{ \color{blue}{8x} \cdot \color{orangered}{3x} }_{\text{FIRST}} + \underbrace{ \color{blue}{8x} \cdot \left( \color{orangered}{-2} \right) }_{\text{OUTER}} + \underbrace{ \left( \color{blue}{-6} \right) \cdot \color{orangered}{3x} }_{\text{INNER}} + \underbrace{ \left( \color{blue}{-6} \right) \cdot \left( \color{orangered}{-2} \right) }_{\text{LAST}} = \\ &= 24x^2 + \left( -16x\right) + \left( -18x\right) + 12 = \\ &= 24x^2 + \left( -16x\right) + \left( -18x\right) + 12 = \\ &= 24x^2-34x+12; \end{aligned} $$

Polynomial Operations Calculator