How do you find the product #(x+3)^2#?

2 Answers
Mar 3, 2018

Answer:

# x^2 + 6x + 9#

Explanation:

# (x+3)^2#
#= (x+3) xx (x+3) #
#= (color(red)x+color(blue)3) xx color(orange)((x+3)) #
#= color(red)x xx color(orange)((x+3)) + color(blue)3 xx color(orange)((x+3))#
#= x^2 + 3x + 3x + 9#
# = x^2 + 6x + 9#

Mar 3, 2018

Answer:

#x^2+6x+9#

Explanation:

#(x+3)^2#

#(x+3)(x+3)#

#color(white)(aaaaaaaaaaaaa)##x+3#
#color(white)(aaaaaaaaaaa)## xx underline(x+3)#
#color(white)(aaaaaaaaaaaaa)##x^2+3x#
#color(white)(aaaaaaaaaaaaaaaa)##+3x+9#
#color(white)(aaaaaaaaaaaaa)##overline(x^2+6x+9)#

#color(white)(aaaaaaaaaaaaa)##color(green)(x^2+6x+9#