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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $7$ by $- 1$ .

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

Multiply $- 1$ by $- 6$ .

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

Multiply $2$ by $- 1$ .

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

Step 2

Simplify by adding terms.

Add $4$ and $6$ .

$- 2 n^{4} - 8 n^{3} - 7 n^{3} + 10 - 2 n^{4}$

Subtract $2 n^{4}$ from $- 2 n^{4}$ .

$- 4 n^{4} - 8 n^{3} - 7 n^{3} + 10$

Subtract $7 n^{3}$ from $- 8 n^{3}$ .

$- 4 n^{4} - 15 n^{3} + 10$