An Argand diagram

Find the sum z1+z2 and difference z1-z2 and z2-z1 of z1=5+2i and z2=2+3i by an Argand diagram.

Correct answer:

s = 7 + 5i
d1 = 3 - i
d2 = -3+i

Step-by-step explanation:

z1=5+2i z2=2+3i  s = z1+z2 s = (5+2i)+(2+3i) s = 5+2i+2+3i s = (5+2)+(2i+3i) s=7+5i
d = z1  z2 d2 = (5+2i)(2+3i) d1 = 5+2i23i d1 = (52)+(2i3i) d1=3i
d2 = z2z1 d2= (z1z2) = d1 d2 = (3i) d2=3+i

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