SOLUTION: I am not sure if this belongs here or not. My question: How do you solve or what meathod do you use to slove: (x+h)^2 I thought the answer would be: x^2+h^2 However, th

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: I am not sure if this belongs here or not. My question: How do you solve or what meathod do you use to slove: (x+h)^2 I thought the answer would be: x^2+h^2 However, th      Log On


   

Question 155447This question is from textbook College Algerbra in Context
: I am not sure if this belongs here or not.
My question:
How do you solve or what meathod do you use to slove:
(x+h)^2
I thought the answer would be:
x^2+h^2
However, the answer is:
x^2+2xh+H^2
Why is the 2xh in the answer?
And how do you come to get that answer? This question is from textbook College Algerbra in Context

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2Bh%29%5E2 Start with the given expression


%28x%2Bh%29%28x%2Bh%29 Expand. Remember something like A%5E2=A%2AA


Now let's FOIL the expression



Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28x%29%2Bh%29%28highlight%28x%29%2Bh%29 Multiply the First terms:%28x%29%2A%28x%29=x%5E2


%28highlight%28x%29%2Bh%29%28x%2Bhighlight%28h%29%29 Multiply the Outer terms:%28x%29%2A%28h%29=xh


%28x%2Bhighlight%28h%29%29%28highlight%28x%29%2Bh%29 Multiply the Inner terms:%28h%29%2A%28x%29=hx


%28x%2Bhighlight%28h%29%29%28x%2Bhighlight%28h%29%29 Multiply the Last terms:%28h%29%2A%28h%29=h%5E2


x%5E2%2Bxh%2Bhx%2Bh%5E2 Now collect every term to make a single expression.


x%5E2%2B2xh%2Bh%5E2 Now combine like terms. Note: the only "like" terms are xh and hx (which is just the reverse of the first expression). So this means that xh%2Bhx=xh%2Bxh=2xh


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Answer:

So %28x%2Bh%29%5E2 foils and simplifies to x%5E2%2B2xh%2Bh%5E2

In other words, %28x%2Bh%29%5E2=x%5E2%2B2xh%2Bh%5E2