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

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

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

simplify

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

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

Solution steps

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

Factor

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

= \frac{( x + 1 ) ( x - 1 )}{x ^{3} - x ^{2}}

Factor

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

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

Cancel the common factor:

x - 1

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

\frac{( a ^{2} + 3 a + 2 )}{( a + 1 )}

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

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

\frac{5}{7 - 2}

lo g_{\frac{1}{3}} (4)