Multiplying Complex Numbers

Front

What is the product of (6 + 2i) and (6 - 2i)?

Back

40

Front

What is the result of multiplying 3i by 6?

Back

18i

Front

Calculate the product of (-3 - i) and (6 - i).

Back

-19 - 3i

Front

Simplify the expression 4i(-6i). What is the result in the form a + bi?

Back

24

Front

What is the value of i^2?

Back

-1

Front

What is the formula for multiplying two complex numbers (a + bi)(c + di)?

Back

(ac - bd) + (ad + bc)i

Front

How do you simplify the expression (a + bi)(a - bi)?

Back

a^2 + b^2

Front

What is the geometric interpretation of multiplying complex numbers?

Back

It represents a rotation and scaling in the complex plane.

Front

What is the conjugate of a complex number a + bi?

Back

a - bi

Front

How do you express the product of two complex numbers in polar form?

Back

Multiply their magnitudes and add their angles.