Multiply polynomial $ \, \color{blue}{ 2+6i } \, $ by $ \, \color{orangered}{ 2+6i }$.

$$ \left( \color{blue}{2+6i} \right) \cdot \left( \color{orangered}{2+6i} \right) = 36i^2+24i+4 $$

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

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

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

$$ \begin{aligned} \left( \color{blue}{ 6i+2}\right) \cdot \left( \color{orangered}{ 6i+2}\right) &= \underbrace{ \color{blue}{6i} \cdot \color{orangered}{6i} }_{\text{FIRST}} + \underbrace{ \color{blue}{6i} \cdot \color{orangered}{2} }_{\text{OUTER}} + \underbrace{ \color{blue}{2} \cdot \color{orangered}{6i} }_{\text{INNER}} + \underbrace{ \color{blue}{2} \cdot \color{orangered}{2} }_{\text{LAST}} = \\ &= 36i^2 + 12i + 12i + 4 = \\ &= 36i^2 + 12i + 12i + 4 = \\ &= 36i^2+24i+4; \end{aligned} $$

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