1) Z1+Z2 = (6+4i) + (2+5i) = 8+9i2) Z1-Z2 = (6+4i) - (2+5i) = 4-1i3) Z1Z2 = (6+4i)(2+5i) = 12+30i+8i+20i^2 = 12+38i - 20 = -8+38i4) Z1/Z2 = (6+4i)/(2+5i) = (6+4i)(2-5i)/(2+5i)(2-5i) = (12-30i+8i-20i^2)/(4-10i+10i-25) = (32-22i)/(29) = 32/29 - 22/29i5) 2iZ1+3Z2 = 2i(6+4i)+3(2+5i) = 12i+8i^2+6+15i = 8-12+21i = -4+21i
1) Z1+Z2 = (6+4i) + (2+5i) = 8+9i
2) Z1-Z2 = (6+4i) - (2+5i) = 4-1i
3) Z1Z2 = (6+4i)(2+5i) = 12+30i+8i+20i^2 = 12+38i - 20 = -8+38i
4) Z1/Z2 = (6+4i)/(2+5i) = (6+4i)(2-5i)/(2+5i)(2-5i) = (12-30i+8i-20i^2)/(4-10i+10i-25) = (32-22i)/(29) = 32/29 - 22/29i
5) 2iZ1+3Z2 = 2i(6+4i)+3(2+5i) = 12i+8i^2+6+15i = 8-12+21i = -4+21i