Algebra Examples

$(3 c^{2} - 7) + (4 c + 7) - (c^{2} + 5 c - 8)$

Step 1

Simplify by adding terms.

Tap for more steps...

Step 1.1

Remove parentheses.

$3 c^{2} - 7 + 4 c + 7 - (c^{2} + 5 c - 8)$

Step 1.2

Combine the opposite terms in $3 c^{2} - 7 + 4 c + 7 - (c^{2} + 5 c - 8)$ .

Tap for more steps...

Step 1.2.1

Add $- 7$ and $7$ .

$3 c^{2} + 4 c + 0 - (c^{2} + 5 c - 8)$

Step 1.2.2

Add $3 c^{2} + 4 c$ and $0$ .

$3 c^{2} + 4 c - (c^{2} + 5 c - 8)$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$3 c^{2} + 4 c - c^{2} - (5 c) - - 8$

Step 2.2

Simplify.

Tap for more steps...

Step 2.2.1

Multiply $5$ by $- 1$ .

$3 c^{2} + 4 c - c^{2} - 5 c - - 8$

Step 2.2.2

Multiply $- 1$ by $- 8$ .

$3 c^{2} + 4 c - c^{2} - 5 c + 8$

Step 3

Simplify by adding terms.

Tap for more steps...

Step 3.1

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

$2 c^{2} + 4 c - 5 c + 8$

Step 3.2

Subtract $5 c$ from $4 c$ .

$2 c^{2} - c + 8$