What happens when you square a binomial?

1 Answer
Aug 16, 2015

Answer:

I am not sure about what you need, but have a look:

Explanation:

If you have a binomial such as #(a+b)# and you square it you get:
#(a+b)^2#
but this is the same as:
#(a+b)(a+b)#

exactly as #4^2=4xx4#.

The result of #(a+b)(a+b)# is interesting because you need to multiply each term of the first bracket by each term of the second and add the results!
#(a+b)(a+b)=a*a+a*b+b*a+b*b=a^2+2ab+b^2#

Try by yourself with a difficult one: #(a-b)^2# remembering to consider the signs of each term!