How do you find the product #(a-2b)^2#?
1 Answer
Apr 5, 2017
Explanation:
Note:
#(a-2b)^2=(a-2b)(a-2b)# Each term in the second bracket must be multiplied by each term in the first bracket. This is shown below.
#(color(red)(a-2b))(a-2b)#
#=color(red)(a)(a-2b)color(red)(-2b)(a-2b)# distribute and collect like terms.
#=a^2color(magenta)(-2ab)color(magenta)(-2ab)+4b^2#
#=a^2-4ab+4b^2#