Divide fractions $\frac{\frac{1}{x^2-1}}{x-1}$ with Keep, Change, Flip: $\frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}$
$\frac{1}{\left(x^2-1\right)\left(x-1\right)}$
Final answer to the problem
$\frac{1}{\left(x^2-1\right)\left(x-1\right)}$
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Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.