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

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

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

factor

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

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

Solution steps

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

a \cdot (b \cdot c)

p (h - 1) + w (- h - 1) + (h - 1)

3 a - 2 b - 2 b y^{4} + 3 a y^{4}

8 y + x - y x - 8 - m^{2} + y m^{2}

m x + 2 n x - 2 m y - 4 n y

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