Question

Выполните упражнение и деление алгебраических дробей

Answer 1

Ответ:

$\frac{48x {}^{5} }{49y {}^{4} } \times \frac{7y {}^{2} }{16x {}^{3} } = \frac{3x {}^{2} }{7y {}^{2} }$

$\frac{a {}^{2} - 3a}{a {}^{2} - 25} \div \frac{a {}^{2} - 9}{a {}^{2} - 5a} = \frac{a(a - 3)}{(a - 5)(a + 5)} \times \frac{a(a - 5)}{(a - 3)(a + 3)} = \frac{a}{a +5 } \times \frac{a}{a + 3} = \frac{a {}^{2} }{a {}^{2} + 3a + 5a + 15} = \frac{a {}^{2} }{a {}^{2} + 8a + 15 }$