Calculate: (4n^4-8n+4)-(8n^2+4n^4+1)

Expression: $\left( 4{n}^{4}-8n+4 \right)-\left( 8{n}^{2}+4{n}^{4}+1 \right)$

Remove unnecessary parentheses

$4{n}^{4}-8n+4-\left( 8{n}^{2}+4{n}^{4}+1 \right)$

When there is a $-$ in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses


Since two opposites add up to $0$, remove them from the expression


Subtract the numbers


Use the commutative property to reorder the terms