Question

Вправа 2.2.Допоможіть будь ласка)

Answer 1

Ответ:

$-6$

Объяснение:

$\dfrac{5m + 2}{5m - 2} - \dfrac{5m - 2}{5m + 2} = \dfrac{(5m + 2)^2 - (5m - 2)^2}{(5m - 2)(5m + 2)} = \dfrac{((5m + 2) - (5m - 2)) ((5m + 2) + (5m - 2))}{25m^2 - 4} = \dfrac{40m}{25m^2 - 4}$$\dfrac{40m}{25m^2 - 4} : \dfrac{20m}{12 - 75m^2} = \dfrac{40m}{25m^2 - 4} \cdot \dfrac{12 - 75m^2}{20m} = \dfrac{40m}{25m^2 - 4} \cdot \dfrac{3 (4 - 25m^2)}{20m} = 2 \cdot (-3) = -6$