How do you multiply #(2x + 6)(x - 2)#?

2 Answers
Apr 10, 2018

Answer:

One term at a time

Explanation:

#(2x+6)times(x-2)#

#=2x^2 -4x + 6x -12#

#=2x^2 + 2x - 12#

Your answer is #2x^2 + 2x - 12#
or
#2(x^2 + x - 6)#

Apr 10, 2018

Answer:

#2x^2+2x-12#

Explanation:

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

#rArr(color(red)(2x+6))(x-2)#

#=color(red)(2x)(x-2)color(red)(+6)(x-2)#

#=(color(red)(2x)xx x)+(color(red)(2x)xx-2)+(color(red)(6)xx x)+(color(red)(6)xx-2)#

#=2x^2color(blue)(-4x)color(blue)(+6x)-12#

#=2x^2+2x-12#