Algebra Examples

$g (- x) = - x^{3}$

Step 1

Divide each term in $g (- x) = - x^{3}$ by $- x$ .

$\frac{g (- x)}{- x} = \frac{- x^{3}}{- x}$

Step 2

Simplify the left side.

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Step 2.1

Dividing two negative values results in a positive value.

$\frac{g (x)}{x} = \frac{- x^{3}}{- x}$

Step 2.2

Cancel the common factor of $x$ .

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Step 2.2.1

Cancel the common factor.

$\frac{g x}{x} = \frac{- x^{3}}{- x}$

Step 2.2.2

Divide $g$ by $1$ .

$g = \frac{- x^{3}}{- x}$

Step 3

Simplify the right side.

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Step 3.1

Dividing two negative values results in a positive value.

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

Step 3.2

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

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Step 3.2.1

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

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

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

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

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

Step 3.2.2.2

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

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

Step 3.2.2.3

Cancel the common factor.

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

Step 3.2.2.4

Rewrite the expression.

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

Step 3.2.2.5

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

$g = x^{2}$