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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

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

- 6 (\frac{14}{3})

32 + 32

(x^{2} y^{4})^{3}

1 + \frac{4}{7}

4 \frac{1}{7}