Find the difference
(4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)
A. -6n^2 - 8n + 3
B. -7n^2 - 4n + 3
C. -7n^2 -8n + 3
D. -8n^2 - 8n + 3
(4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1) can be simplified as:
4n^4 - 8n + 4 - 8n^2 - 4n^4 - 1
Rearranging the terms to combine like terms, we have:
(4n^4 - 4n^4) + (-8n - 0n) + (4 - 1) = -8n - 1 + 3
Combining the constants, we have:
-8n + 2
Therefore, the difference is -8n + 2.
None of the provided answer choices match this expression exactly.
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Apologies for the error. Let's try again.
(4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)
Simplifying the expression inside the brackets, we have:
4n^4 - 8n + 4 - 8n^2 - 4n^4 - 1
Combining like terms:
(4n^4 - 4n^4) + (-8n - 0n) + (4 - 1)
This simplifies to:
0 + (-8n) + 3
Which further simplifies to:
-8n + 3
Therefore, the difference is -8n + 3.
The correct answer is A. -6n^2 - 8n + 3.