BW- 5.3 Operations with Complex Numbers

Front

What is the simplified form of (11 - 7i) - (-3 + 12i)?

Back

14 - 19i

Front

What is the simplified form of (-9 + 5i) + (3 - 2i)?

Back

-6 + 3i

Front

What is the simplified form of (8 - 3i)²?

Back

55 - 48i

Front

What does i² equal?

Back

-1

Front

What is the simplified form of (-6i)(3i)?

Back

18

Front

Define a complex number.

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

How do you add complex numbers?

Back

To add complex numbers, combine their real parts and their imaginary parts separately.

Front

How do you subtract complex numbers?

Back

To subtract complex numbers, subtract their real parts and their imaginary parts separately.

Front

What is the product of two complex numbers (a + bi)(c + di)?

Back

The product is ac + adi + bci + bdi², which simplifies to (ac - bd) + (ad + bc)i.