Basic Math Examples

$(8 v^{2} + 8 v - 5) - (- v^{2} - 4 v - 7) + (8 v^{2} + 5 v - 5)$

Step 1

Remove parentheses.

$(8 v^{2} + 8 v - 5) - (- v^{2} - 4 v - 7) + 8 v^{2} + 5 v - 5$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$8 v^{2} + 8 v - 5 - - v^{2} - (- 4 v) - - 7 + 8 v^{2} + 5 v - 5$

Step 2.2

Simplify.

Tap for more steps...

Step 2.2.1

Multiply $- - v^{2}$ .

Tap for more steps...

Step 2.2.1.1

Multiply $- 1$ by $- 1$ .

$8 v^{2} + 8 v - 5 + 1 v^{2} - (- 4 v) - - 7 + 8 v^{2} + 5 v - 5$

Step 2.2.1.2

Multiply $v^{2}$ by $1$ .

$8 v^{2} + 8 v - 5 + v^{2} - (- 4 v) - - 7 + 8 v^{2} + 5 v - 5$

Step 2.2.2

Multiply $- 4$ by $- 1$ .

$8 v^{2} + 8 v - 5 + v^{2} + 4 v - - 7 + 8 v^{2} + 5 v - 5$

Step 2.2.3

Multiply $- 1$ by $- 7$ .

$8 v^{2} + 8 v - 5 + v^{2} + 4 v + 7 + 8 v^{2} + 5 v - 5$

Step 3

Simplify by adding terms.

Tap for more steps...

Step 3.1

Add $8 v^{2}$ and $v^{2}$ .

$9 v^{2} + 8 v - 5 + 4 v + 7 + 8 v^{2} + 5 v - 5$

Step 3.2

Add $9 v^{2}$ and $8 v^{2}$ .

$17 v^{2} + 8 v - 5 + 4 v + 7 + 5 v - 5$

Step 3.3

Add $8 v$ and $4 v$ .

$17 v^{2} + 12 v - 5 + 7 + 5 v - 5$

Step 3.4

Add $12 v$ and $5 v$ .

$17 v^{2} + 17 v - 5 + 7 - 5$

Step 3.5

Simplify by adding and subtracting.

Tap for more steps...

Step 3.5.1

Add $- 5$ and $7$ .

$17 v^{2} + 17 v + 2 - 5$

Step 3.5.2

Subtract $5$ from $2$ .

$17 v^{2} + 17 v - 3$