Question

помогите упростить...​

Answer 1

Ответ:

$( \frac{3m + 1}{3m - 1} - \frac{3m - 1}{3m + 1} ) \div \frac{4m}{9m + 3} = \frac{(3m + 1) {}^{2} - (3m - 1) {}^{2} }{(3m - 1)(3m + 1)} \times \frac{9m + 3}{4m} = \frac{2 \times 6m}{(3m - 1)(3m + 1)} \times \frac{3(3m + 1)}{4m} = \frac{12m}{3m - 1} \times \frac{3}{4m} = \frac{3}{3m - 1} \times 3 = \frac{9}{3m - 1}$