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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Factor

x^{3} - x : x (x^{2} - 1)

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

Factor

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

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

Cancel the common factor:

x + 1

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

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Frequently Asked Questions (FAQ)

What is (x+1)/(x^3-x) ?
The solution to (x+1)/(x^3-x) is 1/(x(x-1))