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

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

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

simplify

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

\frac{- 2 x ^{2} y ^{2} + x ^{4} + y ^{4}}{x ^{2} y ^{2}}

Solution steps

\frac{x ^{2}}{y ^{2}} - 2 + \frac{y ^{2}}{x ^{2}}

Join

\frac{x ^{2}}{y ^{2}} + \frac{y ^{2}}{x ^{2}} : \frac{x ^{4} + y ^{4}}{x ^{2} y ^{2}}

= \frac{x ^{4} + y ^{4}}{x ^{2} y ^{2}} - 2

Apply the fraction rule:

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

= \frac{- 2 x ^{2} y ^{2} + x ^{4} + y ^{4}}{x ^{2} y ^{2}}

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

2 x^{3} y - 6 x^{2} y^{3}

\frac{( 3 x ^{2} - 5 x + 2 )}{( x - 1 )}

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

- 3 r^{2} s^{3} (5 s^{5} + 9 r - 2)

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