How do you multiply # (a+b)^2#?

1 Answer
Shantelle
Apr 3, 2018

#a^2 + 2ab + b^2#

Explanation:

#(a + b)^2# is the same as #(a + b)(a + b)#.
(It's always easier to write it out because it makes you see clearly all the numbers you are multiplying. Also you'll make less mistakes that way.)

#a * a = a^2#

#a * b = ab#

#b * a = ab#

#b * b = b^2#

Combining that all together:
#a^2 + ab + ab + b^2#

However we can still simplify the #ab + ab# into #2ab#. Therefore, the answer is #a^2 + 2ab + b^2#.

Hope this helps!

Related questions
See all questions in Multiplication of Polynomials by Binomials
Impact of this question
3215 views around the world
You can reuse this answer
Creative Commons License