Simplify (8n^4-2n+6n^3)-(8n^3+2n+7n^2)

$(8 n^{4} - 2 n + 6 n^{3}) - (8 n^{3} + 2 n + 7 n^{2})$

Simplify each term.

Apply the distributive property.

$8 n^{4} - 2 n + 6 n^{3} - (8 n^{3}) - (2 n) - (7 n^{2})$

Simplify.

Multiply $8$ by $- 1$ .

$8 n^{4} - 2 n + 6 n^{3} - 8 n^{3} - (2 n) - (7 n^{2})$

Multiply $2$ by $- 1$ .

$8 n^{4} - 2 n + 6 n^{3} - 8 n^{3} - 2 n - (7 n^{2})$

Multiply $7$ by $- 1$ .

$8 n^{4} - 2 n + 6 n^{3} - 8 n^{3} - 2 n - 7 n^{2}$

Simplify by adding terms.

Subtract $2 n$ from $- 2 n$ .

$8 n^{4} + 6 n^{3} - 8 n^{3} - 4 n - 7 n^{2}$

Subtract $8 n^{3}$ from $6 n^{3}$ .

$8 n^{4} - 2 n^{3} - 4 n - 7 n^{2}$

Move $- 4 n$ .

$8 n^{4} - 2 n^{3} - 7 n^{2} - 4 n$