Tính:

 \(\frac{{5x + {y^2}}}{{{x^2}y}} - \frac{{5y - {x^2}}}{{x{y^2}}}\);

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

\( = \frac{{y\left( {5x + {y^2}} \right)}}{{{x^2}{y^2}}} - \frac{{x\left( {5y - {x^2}} \right)}}{{{x^2}{y^2}}}\) (Mẫu thức chung là: x²y²)

\( = \frac{{5xy + {y^3}}}{{{x^2}{y^2}}} - \frac{{5xy - {x^3}}}{{{x^2}{y^2}}}\)

\( = \frac{{5xy + {y^3} - 5xy + {x^3}}}{{{x^2}{y^2}}} = \frac{{{x^3} + {y^3}}}{{{x^2}{y^2}}}\).