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Popular >

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

Solution

simplify

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

Solution

x (x - 1)

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

= x (x - 1)

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Frequently Asked Questions (FAQ)

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