How do you multiply #(x + 2)(x + 3)#?

1 Answer
May 18, 2018

Answer:

#x^2+5x+6#

Explanation:

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

#rArr(color(red)(x+2))(x+3)#

#=color(red)(x)(x+3)color(red)(+2)(x+3)larrcolor(blue)"distribute"#

#=(color(red)(x)xx x)+(color(red)(x)xx3)+(color(red)(2)xx x)+(color(red)(2)xx3)#

#=x^2color(magenta)(+3x)color(magenta)(+2x)+6larrcolor(blue)"collect like terms"#

#=x^2+5x+6#