Simplify (x^3-1)/(1-x^3)

$\frac{x^{3} - 1}{1 - x^{3}}$

Step 1

Factor $- 1$ out of $x^{3}$ .

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

Step 2

Rewrite $- 1$ as $- 1 (1)$ .

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

Step 3

Factor $- 1$ out of $- 1 (- x^{3}) - 1 (1)$ .

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

Step 4

Reorder terms.

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

Step 5

Cancel the common factor.

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

Step 6

Divide $- 1$ by $1$ .

$- 1$

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