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

$$ \begin{aligned} \left( \color{blue}{ 4m-9}\right) \cdot \left( \color{orangered}{ 3m-7}\right) &= \underbrace{ \color{blue}{4m} \cdot \color{orangered}{3m} }_{\text{FIRST}} + \underbrace{ \color{blue}{4m} \cdot \left( \color{orangered}{-7} \right) }_{\text{OUTER}} + \underbrace{ \left( \color{blue}{-9} \right) \cdot \color{orangered}{3m} }_{\text{INNER}} + \underbrace{ \left( \color{blue}{-9} \right) \cdot \left( \color{orangered}{-7} \right) }_{\text{LAST}} = \\ &= 12m^2 + \left( -28m\right) + \left( -27m\right) + 63 = \\ &= 12m^2 + \left( -28m\right) + \left( -27m\right) + 63 = \\ &= 12m^2-55m+63; \end{aligned} $$

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