Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $3$ by $- 1$ .

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

Step 1.3

Multiply $4$ by $- 1$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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Step 2.1.1

Subtract $4 n$ from $4 n$ .

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

Step 2.1.2

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

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

Step 2.2

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

$- 6 n^{3}$