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

Jan 11, 2017

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis. See full process below:

#### Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{x} + \textcolor{red}{5}\right) \left(\textcolor{b l u e}{x} - \textcolor{b l u e}{3}\right)$ becomes:

$\left(\textcolor{red}{x} \times \textcolor{b l u e}{x}\right) - \left(\textcolor{red}{x} \times \textcolor{b l u e}{3}\right) + \left(\textcolor{red}{5} \times \textcolor{b l u e}{x}\right) - \left(\textcolor{red}{5} \times \textcolor{b l u e}{3}\right)$

${x}^{2} - 3 x + 5 x - 15$

We can now combine like terms:

${x}^{2} + \left(- 3 + 5\right) x - 15$

${x}^{2} + 2 x - 15$