Basic Math Examples

$(2 v^{2} - 3 v^{2}) - (- 4 v^{2} - 9 v + 3) + (9 v^{2} - 8 v + 6)$

Step 1

Remove parentheses.

$(2 v^{2} - 3 v^{2}) - (- 4 v^{2} - 9 v + 3) + 9 v^{2} - 8 v + 6$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$2 v^{2} - 3 v^{2} - (- 4 v^{2}) - (- 9 v) - 1 \cdot 3 + 9 v^{2} - 8 v + 6$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 4$ by $- 1$ .

$2 v^{2} - 3 v^{2} + 4 v^{2} - (- 9 v) - 1 \cdot 3 + 9 v^{2} - 8 v + 6$

Step 2.2.2

Multiply $- 9$ by $- 1$ .

$2 v^{2} - 3 v^{2} + 4 v^{2} + 9 v - 1 \cdot 3 + 9 v^{2} - 8 v + 6$

Step 2.2.3

Multiply $- 1$ by $3$ .

$2 v^{2} - 3 v^{2} + 4 v^{2} + 9 v - 3 + 9 v^{2} - 8 v + 6$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $3 v^{2}$ from $2 v^{2}$ .

$- v^{2} + 4 v^{2} + 9 v - 3 + 9 v^{2} - 8 v + 6$

Step 3.2

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

$3 v^{2} + 9 v - 3 + 9 v^{2} - 8 v + 6$

Step 3.3

Add $3 v^{2}$ and $9 v^{2}$ .

$12 v^{2} + 9 v - 3 - 8 v + 6$

Step 3.4

Subtract $8 v$ from $9 v$ .

$12 v^{2} + v - 3 + 6$

Step 3.5

Add $- 3$ and $6$ .

$12 v^{2} + v + 3$