Question

Упростить
$\frac{ {x}^{ \frac{2}{3} } - {y}^{ \frac{2}{3} } } { {x}^{ \frac{1}{3} } + {y}^{ \frac{1}{3} } }^ {}$
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Answer 1

$\displaystyle \frac{x^{\tfrac{2}{3} }-y^{\tfrac{2}{3} }}{ x^{\tfrac{1}{3} }+y^{\tfrac{1}{3} }}=\frac{\big( \boldsymbol{x^{\tfrac{1}{3} }+y^{\tfrac{1}{3}} } \big )(x^{\tfrac{1}{3} }-y^{\tfrac{1}{3} })}{ \ \boldsymbol{x^{\tfrac{1}{3} }+y^{\tfrac{1}{3} } }\ }} =\boxed{x^{\tfrac{1}{3} } -y^{\tfrac{1}{3} }}$