Question

упростите выражение.
Укажи правильный порядок решения! ​

Answer 1

Ответ:

1.

$\frac{ {a}^{2} - 25}{a + 3} \times \frac{1}{ {a}^{2} + 5a } = \frac{(a - 5)(a + 5)}{a + 3} \times \frac{1}{a(a + 5)} = \\ = \frac{a - 5}{a(a + 3)}$

2.

$\frac{ {a}^{2} + 10a + 25}{a {}^{3} + 6 a {}^{2} + 9a} + \frac{a + 5}{a - 3} = \\ \frac{(a + 5) {}^{2} }{a(a - 3) {}^{2} } + \frac{a + 5}{a - 3} = \frac{a + 5}{a(a - 3)}$

3.

$( \frac{4}{a - 3} ) {}^{2} = \frac{16}{(a - 3)(a - 3)}$

4.

$\frac{a - 5}{a(a + 3)} - \frac{a + 5}{a(a - 3)} = - \frac{16}{ {a}^{2} - 9 }$

5.

$- \frac{16}{( a- 3)( a+ 3)} + \frac{16}{(a - 3)(a - 3)}$

6.

$\frac{96}{(a + 3)(a - 3) {}^{2} }$