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

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) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Expand. Remember something like

Now let's FOIL the expression

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

Multiply the First terms:

Multiply the Outer terms:

Multiply the Inner terms:

Multiply the Last terms:

Now collect every term to make a single expression.

Now combine like terms. Note: the only "like" terms are and (which is just the reverse of the first expression). So this means that

---------------------
Answer:

So foils and simplifies to

In other words,
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