Step 1: First we have to write polynomials in descending order.

$$ \begin{aligned} P(x) &= 2x-2 \\ Q(x) &= 4x-6 \\ \end{aligned} $$

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

$$ \begin{aligned} \left( \color{blue}{ 2x-2}\right) \cdot \left( \color{orangered}{ 4x-6}\right) &= \underbrace{ \color{blue}{2x} \cdot \color{orangered}{4x} }_{\text{FIRST}} + \underbrace{ \color{blue}{2x} \cdot \left( \color{orangered}{-6} \right) }_{\text{OUTER}} + \underbrace{ \left( \color{blue}{-2} \right) \cdot \color{orangered}{4x} }_{\text{INNER}} + \underbrace{ \left( \color{blue}{-2} \right) \cdot \left( \color{orangered}{-6} \right) }_{\text{LAST}} = \\ &= 8x^2 + \left( -12x\right) + \left( -8x\right) + 12 = \\ &= 8x^2 + \left( -12x\right) + \left( -8x\right) + 12 = \\ &= 8x^2-20x+12; \end{aligned} $$

Polynomial Operations Calculator