Section 76 Complex Numbers (Page 2 of 3) in pdf

Section 76 Complex Numbers Page 2

Objective 2: Add and subtract complex numbers

Adding and Subtracting Complex Numbers

To add complex numbers, add the real parts and add the imaginary parts.



 









a bi

c di

a c

b d i

To subtract complex numbers, subtract the real parts and subtract the imaginary parts.



 

















a bi

c di

a c

b d i

7.6.13 Find the difference.

Objective 3: Multiply complex numbers

When multiplying complex numbers, use the distributive property and the FOIL method as when

multiplying polynomials. Remember that

when simplifying.

7.6.19 Perform the indicated operation.

7.6.21 Multiply.

Complex Conjugates













The complex numbers

and

are called complex conjugates of each other. A

a bi

complex conjugate is obtained by changing the sign of the imaginary part in a complex number. Also,



 











a bi

7.6.22 Find the product of the complex number and its conjugate.

Section 76 Complex Numbers Page 2

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