Question
Multiply polynomial $ \, \color{blue}{ n0 } \, $ by $ \, \color{orangered}{ n0 }$.
Answer
$$ \left( \color{blue}{n0} \right) \cdot \left( \color{orangered}{n0} \right) = n^2 $$
Explanation
In this example we are multiplying two binomials so FOIL method can be used.
$$ \begin{aligned} \left( \color{blue}{ n0}\right) \cdot \left( \color{orangered}{ n0}\right) &= \underbrace{ \color{blue}{n} \cdot \color{orangered}{n} }_{\text{FIRST}} + \underbrace{ \color{blue}{n} \cdot \color{orangered}{0} }_{\text{OUTER}} + \underbrace{ \color{blue}{0} \cdot \color{orangered}{n} }_{\text{INNER}} + \underbrace{ \color{blue}{0} \cdot \color{orangered}{0} }_{\text{LAST}} = \\ &= n^2 + 0n + 0n + 0 = \\ &= n^2 + 0n + 0n + 0 = \\ &= n^2; \end{aligned} $$This page was created using
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