Z1 + Z2 = −9+8i-9 + 8i−9+8i + −7−4i-7 - 4i−7−4i = -9 - 7 + 8i - 4i = -16 + 4iZ1 - Z2 = −9+8i-9 + 8i−9+8i - −7−4i-7 - 4i−7−4i = -9 + 7 + 8i + 4i = -2 + 12iZ1 Z2 = −9+8i-9 + 8i−9+8i −7−4i-7 - 4i−7−4i = -9−7-7−7 + 94i4i4i + 8i−7-7−7 + 8i4i4i4i = 63 + 36i - 56i - 32 = -95 - 20iZ1 / Z2 = −9+8i-9 + 8i−9+8i / −7−4i-7 - 4i−7−4i = −9+8i-9 + 8i−9+8i −7+4i-7 + 4i−7+4i / (−7−4i)</em>(−7+4i)(-7 - 4i) </em> (-7 + 4i)(−7−4i)</em>(−7+4i) = −63+36i+56i+32-63 + 36i + 56i + 32−63+36i+56i+32 / 49+1649 + 1649+16 = −31+92i-31 + 92i−31+92i / 65 = -31/65 + 92i/65
Z1 + Z2 = −9+8i-9 + 8i−9+8i + −7−4i-7 - 4i−7−4i = -9 - 7 + 8i - 4i = -16 + 4i
Z1 - Z2 = −9+8i-9 + 8i−9+8i - −7−4i-7 - 4i−7−4i = -9 + 7 + 8i + 4i = -2 + 12i
Z1 Z2 = −9+8i-9 + 8i−9+8i −7−4i-7 - 4i−7−4i = -9−7-7−7 + 94i4i4i + 8i−7-7−7 + 8i4i4i4i = 63 + 36i - 56i - 32 = -95 - 20i
Z1 / Z2 = −9+8i-9 + 8i−9+8i / −7−4i-7 - 4i−7−4i = −9+8i-9 + 8i−9+8i −7+4i-7 + 4i−7+4i / (−7−4i)</em>(−7+4i)(-7 - 4i) </em> (-7 + 4i)(−7−4i)</em>(−7+4i) = −63+36i+56i+32-63 + 36i + 56i + 32−63+36i+56i+32 / 49+1649 + 1649+16 = −31+92i-31 + 92i−31+92i / 65 = -31/65 + 92i/65