Imaginary and Real Number Operations

The video tutorial explains how to simplify complex numbers by performing operations such as subtraction and multiplication. It begins with subtracting two complex numbers, demonstrating how to clear parentheses and combine like terms. The tutorial then covers multiplying complex numbers using distribution and the FOIL method, emphasizing the importance of simplifying expressions and handling i squared. Each example is presented in the standard form of a complex number, a + bi.

What is the result of subtracting (2 + 15i) from (10 + 4i)?

• 8 + 11i

• -8 + 11i

• -8 - 11i

• 8 - 11i

When multiplying 13i by (3 + 5i), what is the real part of the result?

• 39

• -65

• 65

• -39

What is the imaginary part of the product of 13i and (3 + 5i)?

• 65i - 39

• 39i - 65

• 65i

• 39i

What is the result of multiplying (9 - i) by (11 + i)?

• 99 - 2i

• 99 + 2i

• 100 - 2i

• 100 + 2i

In the expression (9 - i)(11 + i), what is the value of i squared?

• i

• -1

• 0

• 1

What is the result of subtracting (12 * 14) from (8 + i)?

• -160 - 83i

• -168 - 84i

• -168 + 84i

• -160 + 83i

What is the imaginary part of the result when subtracting (12 * 7i) from (8 + i)?

• 84i

• 83i

• -83i

• -84i

What is the simplified form of the expression (8 + i) - 12(14 + 7i)?

• -168 + 84i

• -160 + 83i

• -168 - 84i

• -160 - 83i

What is the real part of the expression (8 + i) - 12(14 + 7i)?

• 168

• 160

• -168

• -160

What is the result of distributing a negative number in the expression (8 + i) - 12(14 + 7i)?

• -168 + 84i

• -160 - 83i

• -160 + 83i

• -168 - 84i