Question

номер 6.14
помогите пожалуйста ​

Answer 1

1)

$\frac{ {a}^{2} + 2ab + {b}^{2} }{ {a}^{2} - {b}^{2} } = \frac{(a + b) {}^{2} }{(a - b)(a + b)} = \frac{a + b}{a - b}$

2)

$\frac{ {x}^{2} - 2x + 1 }{ {x}^{2} - 1} = \frac{(x - 1) {}^{2} }{(x + 1)(x - 1)} = \frac{x - 1}{x + 1}$

3)

$\frac{3 {a}^{2} - 6ab + 3 {b}^{2} }{6 {a}^{2} - 6 {b}^{2} } = \frac{3(a - b) {}^{2} }{6(a + b)(a - b)} = \frac{a - b}{2a + 2b}$

4)

$\frac{5 {m}^{2} + 10mn + 5 {n}^{2} }{ {15m}^{2} - {15n}^{2} } = \frac{5(m + n) {}^{2} }{15(m + n)(m - n)} = \\ \frac{m + n}{3m - 3n}$