What is factor (x^{-2}-y^{-2})^{-1} ?

The solution to factor (x^{-2}-y^{-2})^{-1} is (x^2y^2)/((y+x)(y-x))

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factor (x^{-2}-y^{-2})^{-1}

factor

(x^{- 2} - y^{- 2})^{- 1}

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

Solution steps

(x^{- 2} - y^{- 2})^{- 1}

Simplify

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

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

Join

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

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

Apply exponent rule:

a^{- 1} = \frac{1}{a}

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

8 c df - 10 c d e

3 m - n + 2 n r - 6 m r

2 - 1 + 3

((x^{[3]}) + 3)^{2}

e^{- t^{2}} + y e^{- t^{2}}

What is factor (x^{-2}-y^{-2})^{-1} ?
The solution to factor (x^{-2}-y^{-2})^{-1} is (x^2y^2)/((y+x)(y-x))