Question

Упростите выражение -3/40 (-2a - (1/3 + 12a )) - 1/7 (14a - (7 + 2/3a))

Answer 1

$- \frac{3}{40} \times ( - 2a - ( \frac{1}{3} + 12a)) - \frac{1}{7} \times (14a - (7 + \frac{2}{3} a)) = \\ - \frac{3}{40} \times ( - 2a - \frac{1}{3} - 12a) - \frac{1}{7} \times (14a - 7 - \frac{2}{3} a) = \\ - \frac{3}{40} ( - 14a - \frac{1}{3} ) - \frac{1}{7} (13 \frac{1}{3} a - 7) = \\ \frac{3 \times 14}{40}a + \frac{3}{40 \times 3} - \frac{1 \times 40}{7 \times 3} a + \frac{7}{7} = \\ \frac{3 \times 7}{20} a + \frac{1}{40} - \frac{40}{21} a + 1 = \\ \frac{21}{20} a - 1 \frac{19}{21} a + 1 \frac{1}{40} = \\ \frac{21 \times 21}{420} a - 1 \frac{19 \times 20}{420} a + 1 \frac{1}{40} = \\ \frac{441}{420} a - 1 \frac{380}{420} a + 1 \frac{1}{40} = \\ \frac{441 - 420 - 380}{420} a + 1 \frac{1}{40} = \\ - \frac{ 359}{420} a + 1 \frac{1}{40} = \\ 1 \frac{1}{40} - \frac{359}{420} a$

Удачи!!!