1). (2+3i)+(-5-2i) 2). (2+3i)-(-5-2i) 3). (2+3i)*(-5-2i) 4). 2+3i/-5-2iкомплексные числа

Question

1). (2+3i)+(-5-2i) 2). (2+3i)-(-5-2i) 3). (2+3i)*(-5-2i) 4). 2+3i/-5-2iкомплексные числа

Answer 1

1) (2+3i)+(-5-2i) = 2 + 3i - 5 - 2i = - 3 + i

2) (2+3i)-(-5-2i) = 2 + 3i + 5 + 2i = 7 + 5i

3) (2 + 3i)*( - 5 - 2i) = - 10 - 4i - 15i - 6i^2 = 
= - 10 - 19i + 6 = - 4 - 19i

4) (2+3i)/(-5-2i) = (2+3i)(-5+2i)/(25 + 4) = 
= (- 10 + 4i - 15i + 6i^2)/29 = 
= ( - 10 - 11i - 6)/29 = 
= ( - 11i - 16)/29 = 
= - 16/29 - 11/29 i