Operations with Complex Numbers

To add two complex numbers , add the real part to the real part and the imaginary part to the imaginary part.

Example 1:

To subtract two complex numbers, subtract the real part from the real part and the imaginary part from the imaginary part.

Example 2:

To multiply two complex numbers, use the FOIL method and combine like terms .

Example 3:

To divide two complex numbers, multiply the numerator and denominator by the complex conjugate , expand and simplify.  Then, write the final answer in standard form.

Example 4: