Simplify (-9x)/(x-x^2)

$\frac{- 9 x}{x - x^{2}}$

Step 1

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

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

$\frac{- 9 x}{x^{1} - x^{2}}$

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

$\frac{- 9 x}{x \cdot 1 - x^{2}}$

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

$\frac{- 9 x}{x \cdot 1 + x (- x)}$

Factor $x$ out of $x \cdot 1 + x (- x)$ .

$\frac{- 9 x}{x (1 - x)}$

$\frac{- 9 x}{x (1 - x)}$

Step 2

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{- 9 x}{x (1 - x)}$

Rewrite the expression.

$\frac{- 9}{1 - x}$

$\frac{- 9}{1 - x}$

Step 3

Move the negative in front of the fraction.

$- \frac{9}{1 - x}$

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