Algebra Examples

$(3 - 6 n^{5} - 8 n^{4}) - (- 6 n^{4} - 3 n - 8 n^{5})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 - 6 n^{5} - 8 n^{4} - (- 6 n^{4}) - (- 3 n) - (- 8 n^{5})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 6$ by $- 1$ .

$3 - 6 n^{5} - 8 n^{4} + 6 n^{4} - (- 3 n) - (- 8 n^{5})$

Step 1.2.2

Multiply $- 3$ by $- 1$ .

$3 - 6 n^{5} - 8 n^{4} + 6 n^{4} + 3 n - (- 8 n^{5})$

Step 1.2.3

Multiply $- 8$ by $- 1$ .

$3 - 6 n^{5} - 8 n^{4} + 6 n^{4} + 3 n + 8 n^{5}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 6 n^{5}$ and $8 n^{5}$ .

$3 + 2 n^{5} - 8 n^{4} + 6 n^{4} + 3 n$

Step 2.2

Add $- 8 n^{4}$ and $6 n^{4}$ .

$3 + 2 n^{5} - 2 n^{4} + 3 n$