How do you find the product of (x+2)(x+2)?

Aug 6, 2016

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

Explanation:

We must ensure that each term in the 2nd bracket is multiplied by each term in the 1st bracket.
This can be achieved as follows.

$\left(\textcolor{red}{x + 2}\right) \left(x + 2\right) = \textcolor{red}{x} \left(x + 2\right) + \textcolor{red}{2} \left(x + 2\right)$

distribute each pair of brackets.

$\textcolor{red}{x} \left(x + 2\right) + \textcolor{red}{2} \left(x + 2\right) = {x}^{2} + 2 x + 2 x + 4 = {x}^{2} + 4 x + 4$