How do you find the product #(11-a)^2#?

2 Answers
May 13, 2017

Answer:

#color(brown)(a^2-22a+121#

Explanation:

#color(white)(aaaaaaaaaaaa)##11-a#
#color(white)(aaaaaaaaaa)## underline( xx 11-a)#
#color(white)(aaaaaaaaaaaaa)##121-11a#
#color(white)(aaaaaaaaaaaaaaaaa)##underline(-11a+a^2)#
#color(white)(aaaaaaaaaaaaaa)##121-22a+a^2#
#color(white)(aaaaaaaaaaaaaa)##color(brown)(a^2-22a+121#

May 13, 2017

Answer:

#121-22a+a^2#

Explanation:

#"express " (11-a)^2=(11-a)(11-a)#

Each term in the second bracket is multiplied by each term in the first bracket as shown below.

#(color(red)(11-a))(11-a)#

#=color(red)(11)(11-a)color(red)(-a)(11-a)#

#=(color(red)(11)xx11)+(color(red)(11)xx-a)+(color(red)(-a)xx11)+(color(red)(-a)xx-a)#

#=121-11a-11a+a^2#

#=121-22a+a^2#