Algebra Examples

$g (2 y) = 2 y^{3}$

Step 1

Remove parentheses.

$g \cdot 2 y = 2 y^{3}$

Step 2

Divide each term in $g \cdot (2 y) = 2 y^{3}$ by $2 y$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $g \cdot (2 y) = 2 y^{3}$ by $2 y$ .

$\frac{g \cdot (2 y)}{2 y} = \frac{2 y^{3}}{2 y}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{g \cdot (2 y)}{2 y} = \frac{2 y^{3}}{2 y}$

Step 2.2.1.2

Rewrite the expression.

$\frac{g \cdot (y)}{y} = \frac{2 y^{3}}{2 y}$

$\frac{g \cdot (y)}{y} = \frac{2 y^{3}}{2 y}$

Step 2.2.2

Cancel the common factor of $y$ .

Tap for more steps...

Step 2.2.2.1

Cancel the common factor.

$\frac{g \cdot y}{y} = \frac{2 y^{3}}{2 y}$

Step 2.2.2.2

Divide $g$ by $1$ .

$g = \frac{2 y^{3}}{2 y}$

$g = \frac{2 y^{3}}{2 y}$

$g = \frac{2 y^{3}}{2 y}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.3.1.1

Cancel the common factor.

$g = \frac{2 y^{3}}{2 y}$

Step 2.3.1.2

Rewrite the expression.

$g = \frac{y^{3}}{y}$

$g = \frac{y^{3}}{y}$

Step 2.3.2

Cancel the common factor of $y^{3}$ and $y$ .

Tap for more steps...

Step 2.3.2.1

Factor $y$ out of $y^{3}$ .

$g = \frac{y \cdot y^{2}}{y}$

Step 2.3.2.2

Cancel the common factors.

Tap for more steps...

Step 2.3.2.2.1

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

$g = \frac{y \cdot y^{2}}{y^{1}}$

Step 2.3.2.2.2

Factor $y$ out of $y^{1}$ .

$g = \frac{y \cdot y^{2}}{y \cdot 1}$

Step 2.3.2.2.3

Cancel the common factor.

$g = \frac{y \cdot y^{2}}{y \cdot 1}$

Step 2.3.2.2.4

Rewrite the expression.

$g = \frac{y^{2}}{1}$

Step 2.3.2.2.5

Divide $y^{2}$ by $1$ .

$g = y^{2}$

$g = y^{2}$

$g = y^{2}$

$g = y^{2}$

$g = y^{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$