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}

m^{9} n^{15} + p^{21}

(sin (t))^{2}

(k^{2} + 3 k + 2)^{2}

a x - 2 b x + 2 a y - 4 b y

x^{2} y - 2 x y + x^{2} + 2 y - 2 x + 2

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)