What is expand (x^2-25)/(x^4) ?

The solution to expand (x^2-25)/(x^4) is 1/(x^2)-(25)/(x^4)

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expand (x^2-25)/(x^4)

expand

\frac{x ^{2} - 25}{x ^{4}}

\frac{1}{x ^{2}} - \frac{25}{x ^{4}}

Solution steps

\frac{x ^{2} - 25}{x ^{4}}

Apply the fraction rule:

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

\frac{x ^{2} - 25}{x ^{4}} = \frac{x ^{2}}{x ^{4}} - \frac{25}{x ^{4}}

= \frac{x ^{2}}{x ^{4}} - \frac{25}{x ^{4}}

Cancel

\frac{x ^{2}}{x ^{4}} : \frac{1}{x ^{2}}

= \frac{1}{x ^{2}} - \frac{25}{x ^{4}}

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

\frac{4 + x}{( 1 + x ) ( 2 - x )}

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

\frac{( 6 - x - 2 ) ( 3 - x + 1 )}{- x + 2}

\frac{18}{x ( x ^{2} + 1 )}

What is expand (x^2-25)/(x^4) ?
The solution to expand (x^2-25)/(x^4) is 1/(x^2)-(25)/(x^4)