How do you multiply #(p+3)^2#?

1 Answer
Aug 10, 2015

Answer:

#p^2+6p+9#

Explanation:

#(p+3)^2#
#color(white)("XXXX")##= (color(red)(p)+color(blue)(3)))xxcolor(green)((p+3))#

#color(white)("XXXX")##= [color(red)(p)xxcolor(green)((p+3))] + [color(blue)(3)xxcolor(green)((p+3))]#

#color(white)("XXXX")##= [color(red)(p^2+3p)] + [color(blue)(3p+9)]#

#color(white)("XXXX")##= p^2+6p+9#