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

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

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expand ((x+1)(x-1))/(x^2)

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

Apply rule

\frac{a}{a} = 1

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

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

r^{\frac{2}{5}} (r^{\frac{3}{5}} + r^{\frac{8}{5}})

(5 - 3) \cdot (x - 7)

- 8 (10 x - 9 y = 23)

(x - (- 2 + 3)) (x - (- 2 - 3))

\frac{1}{2 - x}

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