Смотри.................
[tex]\displaystyle\bf\\1)\\\\\frac{m-3m^{\frac{1}{3} } }{m^{\frac{2}{3} } -3} =\frac{(m^{\frac{1}{3} } )^{3} -3m^{\frac{1}{3} } }{m^{\frac{2}{3} } -3} =\frac{m^{\frac{1}{3} }\cdot(m^{\frac{2}{3} } -3) }{m^{\frac{2}{3} } -3} =m^{\frac{1}{3} }\\\\2)[/tex]
[tex]\displaystyle\bf\\\frac{m^{\frac{1}{2} } -n^{\frac{1}{2} } }{m^{\frac{1}{4} } +n^{\frac{1}{4} } } =\frac{(m^{\frac{1}{4} } )^{2} -(n^{\frac{1}{4} })^{2} }{m^{\frac{1}{4} } +n^{\frac{1}{4} } } =\frac{(m^{\frac{1}{4} } -n^{\frac{1}{4} })\cdot(m^{\frac{1}{4} } +n^{\frac{1}{4} } ) }{m^{\frac{1}{4} } +n^{\frac{1}{4} } } =\\\\\\=m^{\frac{1}{4} } -n^{\frac{1}{4} }[/tex]
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Answers & Comments
Смотри.................
[tex]\displaystyle\bf\\1)\\\\\frac{m-3m^{\frac{1}{3} } }{m^{\frac{2}{3} } -3} =\frac{(m^{\frac{1}{3} } )^{3} -3m^{\frac{1}{3} } }{m^{\frac{2}{3} } -3} =\frac{m^{\frac{1}{3} }\cdot(m^{\frac{2}{3} } -3) }{m^{\frac{2}{3} } -3} =m^{\frac{1}{3} }\\\\2)[/tex]
[tex]\displaystyle\bf\\\frac{m^{\frac{1}{2} } -n^{\frac{1}{2} } }{m^{\frac{1}{4} } +n^{\frac{1}{4} } } =\frac{(m^{\frac{1}{4} } )^{2} -(n^{\frac{1}{4} })^{2} }{m^{\frac{1}{4} } +n^{\frac{1}{4} } } =\frac{(m^{\frac{1}{4} } -n^{\frac{1}{4} })\cdot(m^{\frac{1}{4} } +n^{\frac{1}{4} } ) }{m^{\frac{1}{4} } +n^{\frac{1}{4} } } =\\\\\\=m^{\frac{1}{4} } -n^{\frac{1}{4} }[/tex]