How do you find the product of #(x+6)^2#?

2 Answers
Jun 9, 2018

Answer:

#x^2+12x+36#

Explanation:

#(x+6)^2 = (x+6)(x+6)=x^2+12x+36#

Jun 9, 2018

Answer:

#x^2+12x+36#

Explanation:

#(x+6)^2=(x+6)(x+6)#

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

#(color(red)(x+6))(x+6)#

#=color(red)(x)(x+6)color(red)(+6)(x+6)larrcolor(blue)"distribute"#

#=(color(red)(x)xx x)+(color(red)(x)xx6)+(color(red)(6)xx x)+(color(red)(6)xx6)#

#=x^2color(blue)(+6x)color(blue)(+6x)+36larrcolor(magenta)"collect like terms"#

#=x^2+12x+36#