Question

Комплексные числа, помогите пожалуйста!!!срочно

Answer 1

$\frac{4 + 3i}{3 - 2i} - \frac{6 - 4i}{3 + 5i} = \frac{(4 + 3i)(3 + 5i) - (6 - 4i)(3 - 2i)}{(3 - 2i)(3 + 5i)} = \\ \\ \frac{12 + 20i + 9i - 15 - 18 + 12i + 12i + 8}{9 + 15i - 6i + 10} = \frac{ - 13 + 53i}{19 + 9i} = \\ \\ = \frac{( - 13 + 53i)(19 - 9i)}{361 + 81} = \frac{ - 247 + 117i + 1007i + 477}{442} = \\ \\ = \frac{230 + 1124i}{442} = \frac{230}{442} + \frac{1124}{442} i = \frac{115}{221} + \frac{562}{221} i$