Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ 3x+3 }$.

$$ \left( \color{blue}{4x+3} \right) \cdot \left( \color{orangered}{3x+3} \right) = 12x^2+21x+9 $$

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

$$ \begin{aligned} \left( \color{blue}{ 4x+3}\right) \cdot \left( \color{orangered}{ 3x+3}\right) &= \underbrace{ \color{blue}{4x} \cdot \color{orangered}{3x} }_{\text{FIRST}} + \underbrace{ \color{blue}{4x} \cdot \color{orangered}{3} }_{\text{OUTER}} + \underbrace{ \color{blue}{3} \cdot \color{orangered}{3x} }_{\text{INNER}} + \underbrace{ \color{blue}{3} \cdot \color{orangered}{3} }_{\text{LAST}} = \\ &= 12x^2 + 12x + 9x + 9 = \\ &= 12x^2 + 12x + 9x + 9 = \\ &= 12x^2+21x+9; \end{aligned} $$

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