Pre-Algebra Examples

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

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

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

Step 1.1.2

Multiply $3$ by $- 1$ .

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

Step 1.1.3

Multiply $4$ by $- 1$ .

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

Step 1.2

Simplify by adding terms.

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Step 1.2.1

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

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Step 1.2.1.1

Subtract $4 n$ from $4 n$ .

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

Step 1.2.1.2

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

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

Step 1.2.2

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

$- 6 n^{3}$

Step 2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$- 6 n^{3} \to 3$

Step 3

The largest exponent is the degree of the polynomial.

$3$