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

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

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

simplify

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

\frac{x + 1}{x}

Solution steps

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

Join

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

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

Join

1 - \frac{1}{x} : \frac{x - 1}{x}

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

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

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

Cancel

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

= \frac{x + 1}{x}

(2 a^{3})^{2} + (- a^{2})^{3}

(3 x - 2 y)^{3} - (3 x + 2 y)^{3}

[\frac{( x ^{10} )}{( 32 y ^{25} )}]^{\frac{1}{5}}

((x^{2} - 1)) \frac{3}{100} x^{2}

\frac{( p ^{2} )}{( ( p - y ) ^{y} )} - \frac{( 2 p )}{( ( p - y ) ^{y - 1} )} + \frac{1}{( ( p - y ) ^{y - 2} )}

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