Сократите дробь:
а) $\frac{x^2 - y^2}{y^3 - x^3}$;
б) $\frac{2a^4b^3 + 8a^3b^4 + 8a^2b^5}{5a^2b^2 + 10ab^3}$.
$\frac{x^2 - y^2}{y^3 - x^3} = -\frac{x^2 - y^2}{x^3 - y^3} = -\frac{(x - y)(x + y)}{(x - y)(x^2 + xy + y^2)} = -\frac{x + y}{x^2 + xy + y^2}$
$\frac{2a^4b^3 + 8a^3b^4 + 8a^2b^5}{5a^2b^2 + 10ab^3} = \frac{2a^2b^3(a^2 + 4ab + 4b^2)}{5ab^2(a + 2b)} = \frac{2ab(a + 2b)^2}{5(a + 2b)} = \frac{2}{5}ab(a + 2b)$
Пожауйста, оцените решение
