Algebra Examples

$(3 a^{2} - a + 2) + (- 3 a^{2} + 3 a - 1) - (a^{2} - 1)$

Step 1

Simplify by adding terms.

Tap for more steps...

Step 1.1

Remove parentheses.

$3 a^{2} - a + 2 - 3 a^{2} + 3 a - 1 - (a^{2} - 1)$

Step 1.2

Combine the opposite terms in $3 a^{2} - a + 2 - 3 a^{2} + 3 a - 1 - (a^{2} - 1)$ .

Tap for more steps...

Step 1.2.1

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

$- a + 2 + 0 + 3 a - 1 - (a^{2} - 1)$

Step 1.2.2

Add $- a + 2$ and $0$ .

$- a + 2 + 3 a - 1 - (a^{2} - 1)$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$- a + 2 + 3 a - 1 - a^{2} - - 1$

Step 2.2

Multiply $- 1$ by $- 1$ .

$- a + 2 + 3 a - 1 - a^{2} + 1$

Step 3

Simplify by adding terms.

Tap for more steps...

Step 3.1

Combine the opposite terms in $- a + 2 + 3 a - 1 - a^{2} + 1$ .

Tap for more steps...

Step 3.1.1

Add $- 1$ and $1$ .

$- a + 2 + 3 a - a^{2} + 0$

Step 3.1.2

Add $- a + 2 + 3 a - a^{2}$ and $0$ .

$- a + 2 + 3 a - a^{2}$

Step 3.2

Add $- a$ and $3 a$ .

$2 a + 2 - a^{2}$

Step 3.3

Simplify the expression.

Tap for more steps...

Step 3.3.1

Move $2$ .

$2 a - a^{2} + 2$

Step 3.3.2

Reorder $2 a$ and $- a^{2}$ .

$- a^{2} + 2 a + 2$