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

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

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

simplify

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

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

Solution steps

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

(\frac{x ^{2} + 1}{x ^{2}})^{2} = \frac{( x ^{2} + 1 ) ^{2}}{x ^{4}}

(\frac{x ^{2} - 1}{x ^{2}})^{2} = \frac{( x ^{2} - 1 ) ^{2}}{x ^{4}}

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

Join

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

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

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

16 (2 a - b)^{2} - 9 (a + b)^{2}

\frac{\frac{r ^{9}}{( r ^{4} )}}{( r ^{2} )}

sin (\frac{( x + y )}{2})

12 x^{3} y^{2} - 36 x^{3} y - 48 x y^{2} + 144 x^{2} y

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