SOLUTION: Simplify (x^4 + x^3 + x^2 + x + 1) + (x^4 - x^3 + x^2 - x + 1).

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Question 1209800: Simplify (x^4 + x^3 + x^2 + x + 1) + (x^4 - x^3 + x^2 - x + 1).
Found 2 solutions by CPhill, Edwin McCravy:
Answer by CPhill(1987)   (Show Source): You can put this solution on YOUR website!
To simplify the expression (x^4 + x^3 + x^2 + x + 1) + (x^4 - x^3 + x^2 - x + 1), we combine like terms:
1. **Combine the x^4 terms:**
x^4 + x^4 = 2x^4
2. **Combine the x^3 terms:**
x^3 - x^3 = 0
3. **Combine the x^2 terms:**
x^2 + x^2 = 2x^2
4. **Combine the x terms:**
x - x = 0
5. **Combine the constant terms:**
1 + 1 = 2
Now, put the simplified terms together:
2x^4 + 0 + 2x^2 + 0 + 2 = 2x^4 + 2x^2 + 2
Therefore, the simplified expression is 2x^4 + 2x^2 + 2.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Put the second polynomial under the first polynomial and add
the corresponding terms.  

 x4 + x3 +  x2 + x + 1 
 x4 - x3 +  x2 - x + 1
----------------------
2x4      + 2x2     + 2

Edwin
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