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

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

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

factor

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

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

x^{7} - a^{7} b^{7}

\frac{( 2 + h ) ^{2} - 4}{h}

x^{6} - 3 x^{4} + 3 x^{2} - 1

e^{a t} u (- t)

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

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