What is (x^3-x)/(x^2-1) ?

The solution to (x^3-x)/(x^2-1) is x

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simplify (x^3-x)/(x^2-1)

simplify

\frac{x ^{3} - x}{x ^{2} - 1}

x

Solution steps

\frac{x ^{3} - x}{x ^{2} - 1}

Factor

x^{3} - x : x (x + 1) (x - 1)

= \frac{x ( x + 1 ) ( x - 1 )}{x ^{2} - 1}

Factor

x^{2} - 1 : (x + 1) (x - 1)

= \frac{x ( x + 1 ) ( x - 1 )}{( x + 1 ) ( x - 1 )}

Cancel the common factor:

x + 1

= \frac{x ( x - 1 )}{x - 1}

Cancel the common factor:

x - 1

= x

20 w^{3} - 5 w^{2} - 8 w + 2

(3 + 15)^{2}

4 c^{6} + 8 c^{3}

(3 y + 4) (3 y - 4)

24 g^{2} - 39 g h + 51 h^{2}