Помогите ришить примеры 1) (1-i)(1+)= 2) 2(3+2i)-4(1-2i)= 3) 3i/2+i= 4) (2+i)(3-i)= 5)...

Question

Помогите ришить примеры
1) (1-i)(1+)=
2) 2(3+2i)-4(1-2i)=
3) 3i/2+i=
4) (2+i)(3-i)=
5) i-1/2+3i=

Answer 1

1)Z1=2+3i    Z2=1-5i
z1+z2=2+3i+1-5i=3-2i
z1-z2=2+3i-1+5i=1+8i
z1*z2=(2+3i)(1-5i)=2-10i+3i-15i²=2-7i+15=17-7i
z1/z2=(2+3i)(1+5i)/(1-5i)(1+5i)=(2+10i+3i-15)/(1+25)=(-13+13i)/26=
=13(-1+i)/26=(-1+i)/2=-1/2+1/2*i
2)Z1=4-3i  Z2=5-2i
z1+z2=4-3i+5-2i=9-5i
z1-z2=4-3i-5+2i=-1-i
z1*z2=(4-3i)(5-2i)=20-8i-15i-6=14-23i
z1/z2=(4-3i)(5+2i)/(5-2i)(5+2i)=(20+8i-15i+6)/(25+4)=(26-7i)/29=26/29-7/29*i