Basic Math Examples

$(- n^{3} - 13 + 6 n^{5}) - (4 n + 8 n^{5} - 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- n^{3} - 13 + 6 n^{5} - (4 n) - (8 n^{5}) - - 5$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 1$ .

$- n^{3} - 13 + 6 n^{5} - 4 n - (8 n^{5}) - - 5$

Step 1.2.2

Multiply $8$ by $- 1$ .

$- n^{3} - 13 + 6 n^{5} - 4 n - 8 n^{5} - - 5$

Step 1.2.3

Multiply $- 1$ by $- 5$ .

$- n^{3} - 13 + 6 n^{5} - 4 n - 8 n^{5} + 5$

$- n^{3} - 13 + 6 n^{5} - 4 n - 8 n^{5} + 5$

$- n^{3} - 13 + 6 n^{5} - 4 n - 8 n^{5} + 5$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 13$ and $5$ .

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

Step 2.2

Subtract $8 n^{5}$ from $6 n^{5}$ .

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

Step 2.3

Reorder $- n^{3}$ and $- 2 n^{5}$ .

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$