Basic Math Examples

$(9 + 13 v^{5} - 2 v^{4}) - (- 13 v^{4} + 11 v^{5} + 14 v^{3})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$9 + 13 v^{5} - 2 v^{4} - (- 13 v^{4}) - (11 v^{5}) - (14 v^{3})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 13$ by $- 1$ .

$9 + 13 v^{5} - 2 v^{4} + 13 v^{4} - (11 v^{5}) - (14 v^{3})$

Step 1.2.2

Multiply $11$ by $- 1$ .

$9 + 13 v^{5} - 2 v^{4} + 13 v^{4} - 11 v^{5} - (14 v^{3})$

Step 1.2.3

Multiply $14$ by $- 1$ .

$9 + 13 v^{5} - 2 v^{4} + 13 v^{4} - 11 v^{5} - 14 v^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $11 v^{5}$ from $13 v^{5}$ .

$9 + 2 v^{5} - 2 v^{4} + 13 v^{4} - 14 v^{3}$

Step 2.2

Add $- 2 v^{4}$ and $13 v^{4}$ .

$9 + 2 v^{5} + 11 v^{4} - 14 v^{3}$

Step 2.3

Move $9$ .

$2 v^{5} + 11 v^{4} - 14 v^{3} + 9$