Basic Math Examples

$3 \cdot y \cdot (- y^{2})$

Step 1

Remove unnecessary parentheses.

$3 \cdot y \cdot - 1 y^{2}$

Step 2

Combine exponents.

Tap for more steps...

Step 2.1

Factor out negative.

$- (3 \cdot y \cdot y^{2})$

Step 2.2

Multiply $y$ by $y^{2}$ by adding the exponents.

Tap for more steps...

Step 2.2.1

Move $y^{2}$ .

$- (3 \cdot (y^{2} y))$

Step 2.2.2

Multiply $y^{2}$ by $y$ .

Tap for more steps...

Step 2.2.2.1

Raise $y$ to the power of $1$ .

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

Step 2.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- (3 \cdot y^{2 + 1})$

Step 2.2.3

Add $2$ and $1$ .

$- (3 \cdot y^{3})$

Step 2.3

Multiply $3$ by $- 1$ .

$- 3 y^{3}$