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

1 Answer
May 22, 2018

Answer:

#6x^2-5x-6#

Explanation:

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

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

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

#=(color(red)(3x)xx2x)+(color(red)(3x)xx-3)+(color(red)(2)xx2x)+(color(red)(2)xx-3)#

#=6x^2color(blue)(-9x)color(blue)(+4x)-6larrcolor(magenta)"collect like terms"#

#=6x^2-5x-6#