How do you multiply #(x+3)^3#?

1 Answer
Apr 4, 2018

Answer:

#color(green)(x^3+9x^2+27x+27#

Explanation:

#(x+3)^3#
#color(white)(aaaaaaaaaaaaa)##x+3#
#color(white)(aaaaaaaaaaa)## xx underline(x+3)#
#color(white)(aaaaaaaaaaaaa)##x^2+3x#
#color(white)(aaaaaaaaaaaaaaaaaa)##3x+9#
#color(white)(aaaaaaaaaaaaa)##overline(x^2+6x+9)#
#color(white)(aaaaaaaaaaa)## xx x+3#
#color(white)(aaaaaaaaaaaaa)##overline(x^3+6x^2+9x)#
#color(white)(aaaaaaaaaaaaaaaaa)##3x^2+18x+27#
#color(white)(aaaaaaaaaaaaa)##overline(x^3+9x^2+27x+27)#

#color(white)(aaaaaaaaaaaaa)##color(green)(x^3+9x^2+27x+27#