How do you multiply #(3x-2)(x+5)#?

1 Answer
Apr 11, 2018

Answer:

#3x^2+13x-10#

Explanation:

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

#rArr(color(red)(3x-2))(x+5)#

#=color(red)(3x)(x+5)color(red)(-2)(x+5)#

#=(color(red)(3x)xx x)+(color(red)(3x)xx5)+(color(red)(-2)xx x)+(color(red)(-2)xx5)#

#=3x^2color(blue)(+15x)color(blue)(-2x)-10#

#=3x^2+13x-10#