Simplify (4n-3n^3)-(3n^3+4n)

$(4 n - 3 n^{3}) - (3 n^{3} + 4 n)$

Step 1

Simplify each term.

Apply the distributive property.

$4 n - 3 n^{3} - (3 n^{3}) - (4 n)$

Multiply $3$ by $- 1$ .

$4 n - 3 n^{3} - 3 n^{3} - (4 n)$

Multiply $4$ by $- 1$ .

$4 n - 3 n^{3} - 3 n^{3} - 4 n$

Step 2

Simplify by adding terms.

Combine the opposite terms in $4 n - 3 n^{3} - 3 n^{3} - 4 n$ .

Subtract $4 n$ from $4 n$ .

$- 3 n^{3} - 3 n^{3} + 0$

Add $- 3 n^{3} - 3 n^{3}$ and $0$ .

$- 3 n^{3} - 3 n^{3}$

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

$- 6 n^{3}$