Question

сократите дробь 1);2);3)

Answer 1

1)
$frac{x + 7 {x}^{ frac{2}{5} } }{ {x}^{ frac{3}{5} } + 7 } = frac{ {x}^{ frac{2}{5} }( {x}^{ frac{3}{5} } + 7) }{ {x}^{ frac{3}{5} } + 7} = {x}^{ frac{2}{5} }$
2)
$frac{ {a}^{ frac{1}{3} } - {b}^{ frac{1}{3} } }{ {a}^{ frac{1}{6} } - {b}^{ frac{1}{6} } } = frac{( {a}^{ frac{1}{6} } + {b}^{ frac{1}{6} } )( {a}^{ frac{1}{6} } - {b}^{ frac{1}{6} }) }{ {a}^{ frac{1}{6} } - {b}^{ frac{1}{6} } } = {a}^{ frac{1}{6} } + {b}^{ frac{1}{6} }$
3)
$frac{ {m}^{ frac{1}{2} } {n}^{ frac{1}{4} } + 3 {m}^{ frac{1}{4} } {n}^{ frac{1}{2} } }{ {m}^{ frac{1}{2} } + 6 {m}^{ frac{1}{4} } {n}^{ frac{1}{4} } + 9 {n}^{ frac{1}{2} } } = frac{ {m}^{ frac{1}{4} } {n}^{ frac{1}{4} }( {m}^{ frac{1}{4} } + 3 {n}^{ frac{1}{4} } )}{ {( {m}^{ frac{1}{4} } + 3 {n}^{ frac{1}{4} }) }^{2} } = frac{ {m}^{ frac{1}{4} } {n}^{ frac{1}{4} } }{ {m}^{ frac{1}{4} } + 3 {n}^{ frac{1}{4} } }$