Basic Math Examples

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

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$a^{2} - b^{3} - (3 a^{2} b) - (3 a b^{2}) - 1 \cdot 1$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $3$ by $- 1$ .

$a^{2} - b^{3} - 3 (a^{2} b) - (3 a b^{2}) - 1 \cdot 1$

Step 1.2.2

Multiply $3$ by $- 1$ .

$a^{2} - b^{3} - 3 (a^{2} b) - 3 (a b^{2}) - 1 \cdot 1$

Step 1.2.3

Multiply $- 1$ by $1$ .

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

Step 1.3

Remove parentheses.

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

Step 2

Reorder.

Tap for more steps...

Step 2.1

Move $a^{2}$ .

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

Step 2.2

Move $- b^{3}$ .

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