Question

Rút gọn mỗi phân thức sau:

\(a)\dfrac{{24{{\rm{x}}^2}{y^2}}}{{16{\rm{x}}{y^3}}}\)                                             

\(b)\dfrac{{6{\rm{x}} - 2y}}{{9{{\rm{x}}^2} - {y^2}}}\)

Answer 1

\(a)\dfrac{{24{{\rm{x}}^2}{y^2}}}{{16{\rm{x}}{y^3}}} = \dfrac{{3{\rm{x}}.8{\rm{x}}{y^2}}}{{2y.8{\rm{x}}{y^2}}} = \dfrac{{3{\rm{x}}}}{{2y}}\)

\(b)\dfrac{{6{\rm{x}} - 2y}}{{9{{\rm{x}}^2} - {y^2}}} = \dfrac{{2\left( {3{\rm{x}} - y} \right)}}{{{{\left( {3{\rm{x}}} \right)}^2} - {y^2}}} = \dfrac{{2\left( {3{\rm{x}} - y} \right)}}{{\left( {3{\rm{x}} - y} \right)\left( {3{\rm{x}} + y} \right)}} = \dfrac{2}{{3{\rm{x}} + y}}\)