Multiply polynomial $ \, \color{blue}{ -2x+4 } \, $ by $ \, \color{orangered}{ 6x-10 }$.

$$ \left( \color{blue}{-2x+4} \right) \cdot \left( \color{orangered}{6x-10} \right) = -12x^2+44x-40 $$

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

$$ \begin{aligned} \left( \color{blue}{ -2x+4}\right) \cdot \left( \color{orangered}{ 6x-10}\right) &= \underbrace{ \left( \color{blue}{-2x} \right) \cdot \color{orangered}{6x} }_{\text{FIRST}} + \underbrace{ \left( \color{blue}{-2x} \right) \cdot \left( \color{orangered}{-10} \right) }_{\text{OUTER}} + \underbrace{ \color{blue}{4} \cdot \color{orangered}{6x} }_{\text{INNER}} + \underbrace{ \color{blue}{4} \cdot \left( \color{orangered}{-10} \right) }_{\text{LAST}} = \\ &= -12x^2 + 20x + 24x + \left( -40\right) = \\ &= -12x^2 + 20x + 24x + \left( -40\right) = \\ &= -12x^2+44x-40; \end{aligned} $$

Polynomial Operations Calculator