[Multiplying polynomials] What is (x+10)squared?

I'm multiplying polynomials and am a little confused on how to do (x+10) 2 [the two is supposed to be squared but I can't get the two at the top to represent squared in this post].
What are the steps?

Como2014-03-21T09:51:43Z

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( x + 10 ) ( x + 10 ) = x² + 20 x + 100

Daniel B2014-03-21T09:37:30Z

First, let's rewrite (x+10)^2 as (x+10)(x+10)

Now, I'm going to multiply the x in the first bracket by everything in the second bracket, and then do the same with the 10 in the first bracket.
(x+10)^2
= (x+10)(x+10)
= x*x + 10x + 10x + (10)(10)

Collecting like terms and
= x^2 + 20x + 100

I've included a picture that tries to show exactly where each term comes from.

fortunebearer2014-03-21T09:46:11Z

(x+10)^2 = (x+10)*(x+10) = x*x+x*10+10*x+10*10
= x^2+10x+10x+100 = x^2+20x+100

Another method:
Using the identity, (a+b)^2 = a^2+2ab+b^2,
(x+10)^2 = x^2+2*x*10+10^2 = x^2+20x+100

bwevans_982014-03-21T09:24:16Z

perhaps you should write the (x+10)^2 as (x+10)(x+10) and foil it to obtain x^2+20x+100

?2014-03-21T09:44:01Z

x² + 20x + 100

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