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[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?
6 Answers
- 7 years ago
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.
- 7 years ago
(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
- 7 years ago
perhaps you should write the (x+10)^2 as (x+10)(x+10) and foil it to obtain x^2+20x+100
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