Find the sum and choose the correct answer.
2n3 + 4n2 - 7 and -n3 + 8n - 9
- n^3 - 4 n^2 - 8 n - 16
n^3 + 4 n^2 + 8 n + 16
3 n^3 + 4 n^2 + 8 n - 2
n^3 + 4 n^2 + 8 n - 16
2n^3 - n^3 = n^3
That eliminates A and C
To find the sum of the expressions 2n^3 + 4n^2 - 7 and -n^3 + 8n - 9, we simply add like terms.
The like terms are the terms with the same variable and exponent.
So, let's add the corresponding like terms together:
(2n^3 + (-n^3)) + (4n^2 + 0) + (-7 + (-9))
Simplifying further:
n^3 + 4n^2 - 16
Therefore, the correct answer is:
n^3 + 4n^2 - 16
To find the sum of the two given expressions, we simply add the corresponding terms together. Let's break it down step by step.
First, let's add the terms with n^3: 2n^3 + (-n^3) = 2n^3 - n^3 = n^3.
Next, let's add the terms with n^2: 4n^2 + 0n^2 = 4n^2.
Then, let's add the terms with n: 0n + 8n = 8n.
Finally, let's add the constant terms: -7 + (-9) = -16.
Putting it all together, the sum of the two expressions is n^3 + 4n^2 + 8n - 16.
So, the correct answer is n^3 + 4n^2 + 8n - 16.