Question

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

Answer 1

`25y^2+70y+49`

Explanation:

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

`(5y+7)^2`

`=(5y+7)(5y+7)`

`=(color(red)(5y+7))(5y+7)`

`=color(red)(5y)(5y+7)color(red)(+7)(5y+7)`

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

`=25y^2+35y+35y+49`

`=25y^2+70y+49`