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Operations with Complex Numbers. Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify. Simplify: 1. 2x + 3y – x + y = x + 4y.

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Presentation on theme: "Operations with Complex Numbers. Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify. Simplify: 1. 2x + 3y – x + y = x + 4y."— Presentation transcript:

1 Operations with Complex Numbers

2 Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify. Simplify: 1. 2x + 3y – x + y = x + 4y 2. (x + 3)(x – 3) = x 2 – 3x + 3x - 9= x 2 – 9 3. ( ) 4. i 2

3 Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify. Adding complex numbers Find the sum of i and 2 – 5 i. Keep the real numbers together, keep the imaginary numbers together. is similar to adding polynomials.

4 Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify i i i

5 Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify. Subtracting complex numbers + ( ) subtracting polynomials. is similar to

6 Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify. Multiplying complex numbers is similar to multiplying polynomials.

7 Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify. The complex conjugate is similar to the radical conjugate. ( )

8 Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify. Dividing complex numbers is similar to we just divided complex numbers.


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