Evaluate (4n^4-8n+4)-(8n^2+4n^4+1)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $8$ by $- 1$ .

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

Multiply $4$ by $- 1$ .

$4 n^{4} - 8 n + 4 - 8 n^{2} - 4 n^{4} - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$4 n^{4} - 8 n + 4 - 8 n^{2} - 4 n^{4} - 1$

Step 2

Simplify by adding terms.

Combine the opposite terms in $4 n^{4} - 8 n + 4 - 8 n^{2} - 4 n^{4} - 1$ .

Subtract $4 n^{4}$ from $4 n^{4}$ .

$- 8 n + 4 - 8 n^{2} + 0 - 1$

Add $- 8 n + 4 - 8 n^{2}$ and $0$ .

$- 8 n + 4 - 8 n^{2} - 1$

Subtract $1$ from $4$ .

$- 8 n - 8 n^{2} + 3$