Evaluate g(2y)=2y^3

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

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.

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $y$ .

Cancel the common factor.

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

Divide $g$ by $1$ .

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

Simplify the right side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Cancel the common factors.

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

$g = y^{2}$