Question
Multiply polynomial $ \, \color{blue}{ 10m+9 } \, $ by $ \, \color{orangered}{ 8m+7 }$.
Answer
$$ \left( \color{blue}{10m+9} \right) \cdot \left( \color{orangered}{8m+7} \right) = 80m^2+142m+63 $$
Explanation
In this example we are multiplying two binomials so FOIL method can be used.
$$ \begin{aligned} \left( \color{blue}{ 10m+9}\right) \cdot \left( \color{orangered}{ 8m+7}\right) &= \underbrace{ \color{blue}{10m} \cdot \color{orangered}{8m} }_{\text{FIRST}} + \underbrace{ \color{blue}{10m} \cdot \color{orangered}{7} }_{\text{OUTER}} + \underbrace{ \color{blue}{9} \cdot \color{orangered}{8m} }_{\text{INNER}} + \underbrace{ \color{blue}{9} \cdot \color{orangered}{7} }_{\text{LAST}} = \\ &= 80m^2 + 70m + 72m + 63 = \\ &= 80m^2 + 70m + 72m + 63 = \\ &= 80m^2+142m+63; \end{aligned} $$This page was created using
Polynomial Operations Calculator