# How do you find the product (5y+7)^2?

May 3, 2017

$25 {y}^{2} + 70 y + 49$

#### Explanation:

Each term in the second bracket is multiplied by each term in the first bracket as shown below.

${\left(5 y + 7\right)}^{2}$

$= \left(5 y + 7\right) \left(5 y + 7\right)$

$= \left(\textcolor{red}{5 y + 7}\right) \left(5 y + 7\right)$

$= \textcolor{red}{5 y} \left(5 y + 7\right) \textcolor{red}{+ 7} \left(5 y + 7\right)$

=(color(red)(5y)xx5y)+(color(red)(5y)xx7)+color(red)(7)xx5y)+(color(red)(7)xx7)

$= 25 {y}^{2} + 35 y + 35 y + 49$

$= 25 {y}^{2} + 70 y + 49$