Finite Math Examples

$(v^{2} + 4 v^{2} - v^{4}) - (5 v^{3} - 5 v^{4} + 3 v)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$v^{2} + 4 v^{2} - v^{4} - (5 v^{3}) - (- 5 v^{4}) - (3 v)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $5$ by $- 1$ .

$v^{2} + 4 v^{2} - v^{4} - 5 v^{3} - (- 5 v^{4}) - (3 v)$

Step 1.2.2

Multiply $- 5$ by $- 1$ .

$v^{2} + 4 v^{2} - v^{4} - 5 v^{3} + 5 v^{4} - (3 v)$

Step 1.2.3

Multiply $3$ by $- 1$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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

Step 2.2

Add $- v^{4}$ and $5 v^{4}$ .

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

Step 2.3

Move $5 v^{2}$ .

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