How do you find the product of #(4g+3h)(2g+3h)#?

1 Answer
May 23, 2018

Answer:

#8g^2+18gh+9h^2#

Explanation:

#"each term in the second bracket is multiplied by each"#
#"term in the first bracket"#

#=(color(red)(4g+3h))(2g+3h)#

#=color(red)(4g)(2g+3h)color(red)(+3h)(2g+3h)larrcolor(blue)"distribute"#

#=(color(red)(4g)xx2g)+(color(red)(4g)xx3h)+(color(red)(3h)xx2g)+(color(red)(3h)xx3h)#

#=8g^2color(blue)(+12gh)color(blue)(+6gh)+9h^2larrcolor(magenta)"collect like terms"#

#=8g^2+18gh+9h^2#