# How do you multiply (x + 4)(x + 7)?

Jun 30, 2016

=${x}^{2} + 11 x + 28$

#### Explanation:

Each term in the first bracket must be multiplied by each term in the second bracket This will give 4 terms which can be simplified to give 3 terms.

$\left(\textcolor{red}{x} + \textcolor{b l u e}{4}\right) \left(\textcolor{t e a l}{x} + \textcolor{p u r p \le}{7}\right)$

=$\left(\textcolor{red}{x} \times \textcolor{t e a l}{x}\right) + \left(\textcolor{red}{x} \times \textcolor{p u r p \le}{7}\right) + \left(\textcolor{b l u e}{4} \times \textcolor{t e a l}{x}\right) + \left(\textcolor{b l u e}{4} \times \textcolor{p u r p \le}{7}\right)$

=${x}^{2} + 7 x + 4 x + 28$

=${x}^{2} + 11 x + 28$