Упр.599 ГДЗ Колягин Ткачёва 11 класс (Алгебра)

1) (5 — 3i) — (1 + 2i) + (2 — i);
2) (4 — 2i) — (7 + i) + (2 — i);
3) (8 + 2i) — (3 — 7i) — (5 + 6i);
4) (2 + 3i) + (-6 — i) — (-3 + 2i).

1. $$\begin{aligned} (5-3i)-(1+2i)+(2-i) &= 5-3i-1-2i+2-i \\ &= (5-1+2)+(-3i-2i-i) \\ &= 6-6i \end{aligned}$$
2. $$\begin{aligned} (4-2i)-(7+i)+(2-i) &= 4-2i-7-i+2-i \\ &= (4-7+2)+(-2i-i-i) \\ &= -1-4i \end{aligned}$$
3. $$\begin{aligned} (8+2i)-(3-7i)-(5+6i) &= 8+2i-3+7i-5-6i \\ &= (8-3-5)+(2i+7i-6i) \\ &= 3i \end{aligned}$$
4. $$\begin{aligned} (2+3i)+(-6-i)-(-3+2i) &= 2+3i-6-i+3-2i \\ &= (2-6+3)+(3i-i-2i) \\ &= -1 \end{aligned}$$

Ответ

1) $$6-6i$$; 2) $$-1-4i$$; 3) $$3i$$; 4) $$-1$$.