Basic Math Examples

$(6 z + 7) - (- 3 z^{2} - 5 z + 7)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$6 z + 7 - (- 3 z^{2}) - (- 5 z) - 1 \cdot 7$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $- 3$ by $- 1$ .

$6 z + 7 + 3 z^{2} - (- 5 z) - 1 \cdot 7$

Step 1.2.2

Multiply $- 5$ by $- 1$ .

$6 z + 7 + 3 z^{2} + 5 z - 1 \cdot 7$

Step 1.2.3

Multiply $- 1$ by $7$ .

$6 z + 7 + 3 z^{2} + 5 z - 7$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Combine the opposite terms in $6 z + 7 + 3 z^{2} + 5 z - 7$ .

Tap for more steps...

Step 2.1.1

Subtract $7$ from $7$ .

$6 z + 3 z^{2} + 5 z + 0$

Step 2.1.2

Add $6 z + 3 z^{2} + 5 z$ and $0$ .

$6 z + 3 z^{2} + 5 z$

Step 2.2

Add $6 z$ and $5 z$ .

$3 z^{2} + 11 z$