# How do you find the product of (y+2)^2?

Jun 8, 2017

${y}^{2} + 4 y + 4$

#### Explanation:

$\left(y + 2\right) \left(y + 2\right)$

Multiply the terms according to the colours.

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

After multiplying:

${y}^{2} + 2 y + 2 y + 4 = {y}^{2} + 4 y + 4$