What is (x^{-3}+y^{-3})/(x^{-2)+y^{-2}} ?

The solution to (x^{-3}+y^{-3})/(x^{-2)+y^{-2}} is (y^3+x^3)/(xy(y^2+x^2))

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simplify (x^{-3}+y^{-3})/(x^{-2)+y^{-2}}

simplify

\frac{x ^{- 3} + y ^{- 3}}{x ^{- 2} + y ^{- 2}}

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

Solution steps

\frac{x ^{- 3} + y ^{- 3}}{x ^{- 2} + y ^{- 2}}

Simplify

x^{- 3} + y^{- 3} : \frac{y ^{3} + x ^{3}}{x ^{3} y ^{3}}

= \frac{\frac{y ^{3} + x ^{3}}{x ^{3} y ^{3}}}{x ^{- 2} + y ^{- 2}}

Simplify

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

= \frac{\frac{y ^{3} + x ^{3}}{x ^{3} y ^{3}}}{\frac{y ^{2} + x ^{2}}{x ^{2} y ^{2}}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( y ^{3} + x ^{3} ) x ^{2} y ^{2}}{x ^{3} y ^{3} ( y ^{2} + x ^{2} )}

Cancel

\frac{( y ^{3} + x ^{3} ) x ^{2} y ^{2}}{x ^{3} y ^{3} ( y ^{2} + x ^{2} )} : \frac{y ^{3} + x ^{3}}{x y ( y ^{2} + x ^{2} )}

= \frac{y ^{3} + x ^{3}}{x y ( y ^{2} + x ^{2} )}

3 x^{2} + 7 x + 12 = 0

4 + f \geq 15

12 \geq \frac{v}{6}

x^{2} + 6 x + 22 = 0

1.25 r - 7 = 2.5

What is (x^{-3}+y^{-3})/(x^{-2)+y^{-2}} ?
The solution to (x^{-3}+y^{-3})/(x^{-2)+y^{-2}} is (y^3+x^3)/(xy(y^2+x^2))