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

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

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

simplify

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

\frac{x}{x + 1}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 1

= \frac{x}{x + 1}

(1 - e^{t} + 3 e^{- 4} t) cos^{5} (t)

3 \cdot a \cdot b^{9}

(x + 1) (a + b)

x^{7} - 3 x^{5} + 2 x^{2}

1 + 4 x^{2} + 16 x^{1}