Re(z_(1)z_(2))=Re z_(1)Re varepsilon_(2)-Im z_(1)Im z_(2)

For any two complex numbers z_(1) and prove that quad Re(z_(1)z_(2))=Re z_(1)Re z_(2)-|mz_(1)|mz_(2)

For any two complex numbers z_(1) and z_(2) , prove that Re (z_(1)z_(2)) = Re z_(1) Re z_(2)- Imz_(1) Imz_(2)

For any two complex numbers z_(1) and z_(2) , prove that Re ( z_(1)z_(2)) = Re z_(1) Re z_(2)- 1mz_(1) Imz_(2)

For any two complex numbers z_(1) and z_(2) , prove that Re ( z_(1)z_(2)) = Re z_(1) Re z_(2)- 1mz_(1) Imz_(2)

For any two complex numbers z_(1) and z_(2) , prove that Re ( z_(1)z_(2)) = Re z_(1) Re z_(2)- 1mz_(1) Imz_(2)

Prove that Re (z_ (1) z_ (2)) = Re z_ (1) Rez_ (2) -Im z_ (1) Im z_ (2)

For any two complex numbers z_(1)" and "z_(2) prove that (i) Re(z_(1)z_(2))=Re(z_1) Re(z_2)-Im(z_1)Im(z_2) .

Define addition and multiplication of two complex numbers z_1 and z_2 . Hence show that : R_e (z_1 z_2)=R_e (z_1)R_e (z_2)- I_m (z_1)I_m(z_2) .

Prove Im (z_ (1) z_ (2)) = Rez_ (1) .Im z_ (2) + Rez_ (2) .Im z_ (1)

For any two complex numbers z_1 and z_2 prove that Re(z_1z_2) = Re(z_1)Re(z_2) - Im(z_1)Im(z_2)