Algebra Examples

$\frac{- 4 x^{3}}{x^{3} - 2 x^{4}}$

Step 1

Factor $x^{3}$ out of $x^{3} - 2 x^{4}$ .

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Step 1.1

Multiply by $1$ .

$\frac{- 4 x^{3}}{x^{3} \cdot 1 - 2 x^{4}}$

Step 1.2

Factor $x^{3}$ out of $- 2 x^{4}$ .

$\frac{- 4 x^{3}}{x^{3} \cdot 1 + x^{3} (- 2 x)}$

Step 1.3

Factor $x^{3}$ out of $x^{3} \cdot 1 + x^{3} (- 2 x)$ .

$\frac{- 4 x^{3}}{x^{3} (1 - 2 x)}$

Step 2

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

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Step 2.1

Cancel the common factor.

$\frac{- 4 x^{3}}{x^{3} (1 - 2 x)}$

Step 2.2

Rewrite the expression.

$\frac{- 4}{1 - 2 x}$

Step 3

Move the negative in front of the fraction.

$- \frac{4}{1 - 2 x}$