# How do you multiply (5x+8)(6x+3)?

Jun 26, 2018

$30 {x}^{2} + 63 x + 24$

#### Explanation:

$\left(\textcolor{red}{5 x} + \textcolor{b l u e}{8}\right) \left(\textcolor{g r e e n}{6 x} + \textcolor{b r o w n}{3}\right)$

To get your answer you must add every combination of 2 colors outside of their own brackets, such as.

$\left(\textcolor{red}{5 x} \cdot \textcolor{g r e e n}{6 x}\right) + \left(\textcolor{red}{5 x} \cdot \textcolor{b r o w n}{3}\right) + \left(\textcolor{b l u e}{8} \cdot \textcolor{g r e e n}{6 x}\right) + \left(\textcolor{b l u e}{8} \cdot \textcolor{b r o w n}{3}\right)$

Notice $\textcolor{red}{5 x}$ is never multiplied by $\textcolor{b l u e}{8}$ as they are in the same brackets.

This simplifies to $30 {x}^{2} + 15 x + 48 x + 24 \rightarrow 30 {x}^{2} + 63 x + 24$