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

1 Answer
May 3, 2017

Answer:

#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#