Question

упростить нужно,помогите пожалуйста

Answer 1

Объяснение:

$\small \left( \frac{ {a}^{2} + {b}^{2} }{b} - a \right)\left( \frac{1}{b} - \frac{1}{a} - 1 \right) \cdot \frac{ {a}^{2} - {b}^{2} }{ {a}^{3} + {b}^{3} } = \\ \small = \left( \frac{ {a}^{2} + {b}^{2} }{b} - \frac{ab}{b} \right)\left( \frac{a}{ab} - \frac{b}{ab} - \frac{ab}{ab} \right) \cdot \frac{ {a}^{2} - {b}^{2} }{ {a}^{3} + {b}^{3} } = \\ \small = \frac{ {a}^{2} + {b}^{2} - ab }{b} \cdot \frac{a - b - ab}{ab} \cdot \frac{ {a}^{2} - {b}^{2} }{ ({a} + {b})( {a}^{2} + {b}^{2} - ab) } = \\ \small = \frac{\cancel{( {a}^{2} + {b}^{2} - ab)} (a - b - ab)( {a}^{2} - {b}^{2}) }{b\cdot ab \cdot ({a} + {b}) \cdot \cancel{( {a}^{2} + {b}^{2} - ab)} } = \\ \small = \frac{ (a - b - ab)( {a} - {b})(a + b) }{b\cdot ab \cdot ({a} + {b})} = \\ \small = \frac{ (a - b - ab)( {a} - {b})}{b\cdot ab } = \\ \small = \frac{ (a - b)( {a} - {b})}{b\cdot ab } - \frac{ ab( {a} - {b})}{b\cdot ab } = \\ = \frac{(a - b)^{2} }{ab^{2} } - \frac{a - b}{b}$