# Which polynomial is the product of (x+2) and (x+2)?

##### 1 Answer
Dec 28, 2016

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

#### Explanation:

A product is the result of multiplication. So, to solve this problem we must multiply $\left(\textcolor{red}{x + 2}\right)$ by $\left(\textcolor{b l u e}{x + 2}\right)$ or

$\left(\textcolor{red}{x + 2}\right) \left(\textcolor{b l u e}{x + 2}\right)$

This is done by cross multiplying the terms in the parenthesis on the left by each term in the parenthesis on the right:

$\left(\textcolor{red}{x} \cdot \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{x} \cdot \textcolor{b l u e}{2}\right) + \left(\textcolor{red}{2} \cdot \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{2} \cdot \textcolor{b l u e}{2}\right) \to$

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

Now, we can combine like terms to obtain the final polynomial.

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

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