Did I do this problem right?
Add. (x^9-2)+(x^9+2).
Here is what I did:
(x+x)^9+(-2+2)
2x^9+0
Is this correct? If not could you please explain it to me?
Thanks.
Right! However, you do not need to include "+0."
To determine if you did the problem correctly, let's go through the steps and compare them to the correct solution.
The problem you were given is to add (x^9-2) and (x^9+2). Here's how you approached it:
You correctly identified that the exponents are the same for both terms, which allows you to combine them using addition. However, you made some errors during the process.
Here are the correct steps to add the two expressions:
1. Start by rewriting the expression: (x^9 - 2) + (x^9 + 2)
2. Combine the terms with the same exponent:
- Combine the x^9 terms: x^9 + x^9 = 2x^9
- Combine the constant terms: -2 + 2 = 0
3. Write the final answer: 2x^9 + 0
You mistakenly performed some additional calculations in your solution. Specifically, you squared the coefficient x in the expression (x+x)^9, resulting in 2x^9. However, this is not necessary as you are only adding the two terms together.
Therefore, the correct answer is 2x^9 + 0.
Keep practicing, and with time, you'll become more comfortable with solving these types of problems accurately.