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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x ^{2} + x + 1}

Solution steps

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

Factor

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

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

Cancel the common factor:

x - 1

= \frac{1}{x ^{2} + x + 1}

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Frequently Asked Questions (FAQ)

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