How do you simplify  (x + 4)(x + 7)?

Feb 11, 2017

See the entire simplification 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.

$\left(\textcolor{red}{x} + \textcolor{red}{4}\right) \left(\textcolor{b l u e}{x} + \textcolor{b l u e}{7}\right)$ becomes:

$\left(\textcolor{red}{x} \times \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{x} \times \textcolor{b l u e}{7}\right) + \left(\textcolor{red}{4} \times \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{4} \times \textcolor{b l u e}{7}\right)$

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

We can now combine like terms:

${x}^{2} + \left(7 + 4\right) x + 28$

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