Final answer:
To simplify the expression, distribute the negative sign and combine like terms.
Step-by-step explanation:
To simplify the given expression (4n4 - 8n + 4) - (8n2 + 4n4 + 1), we need to combine like terms and perform the subtraction.
First, distribute the negative sign through the parentheses:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1) = 4n4 - 8n + 4 - 8n2 - 4n4 - 1
Next, combine the like terms:
(4n4 - 4n4) + (-8n - 8n) + (4 - 1 - 8n2) = -16n - 8n2 + 3
So, the simplified expression is -8n2 - 16n + 3.