Сократите дробь:
а) $\frac{9x^2 - 6x + 1}{9x^2 - 1}$;
б) $\frac{16a^2 - 25b^2}{16a^2 + 40ab + 25b^2}$;
в) $\frac{4m^2 - 9n^2}{9n^2 - 12mn + 4m^2}$;
г) $\frac{36t^2 + 12st + s^2}{s^2 - 36t^2}$.
$\frac{9x^2 - 6x + 1}{9x^2 - 1} = \frac{(3x - 1)^2}{(3x - 1)(3x + 1)} = \frac{3x - 1}{3x + 1}$
$\frac{16a^2 - 25b^2}{16a^2 + 40ab + 25b^2} = \frac{(4a - 5b)(4a + 5b)}{(4a + 5b)^2} = \frac{4a - 5b}{4a + 5b}$
$\frac{4m^2 - 9n^2}{9n^2 - 12mn + 4m^2} = \frac{(2m - 3n)(2m + 3n)}{(3n - 2m)^2} = \frac{(2m - 3n)(2m + 3n)}{(2m - 3n)^2} = \frac{2m + 3n}{2m - 3n}$
$\frac{36t^2 + 12st + s^2}{s^2 - 36t^2} = \frac{(6t + s)^2}{(s - 6t)(s + 6t)} = \frac{(s + 6t)^2}{(s - 6t)(s + 6t)} = \frac{s + 6t}{s - 6t}$
Пожауйста, оцените решение
