Math Problem Statement

(1 - 6yi)(2 + 5i) - (1 - 6yi)(2 + i)

Solution

The given expression simplifies to:

24y+4i24y + 4i

This is already in the form a+bia + bi, where a=24ya = 24y and b=4b = 4.

Would you like any further details or explanations on this? Here are some related questions you might find interesting:

  1. How do we multiply complex numbers?
  2. What is the significance of the imaginary unit ii in complex numbers?
  3. How do you convert a complex number to its polar form?
  4. What is the geometric interpretation of multiplying complex numbers?
  5. Can complex numbers be used to solve real-world problems?

Tip: When multiplying complex numbers, remember that i2=1i^2 = -1, which helps in simplifying expressions involving imaginary parts.

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Algebra

Formulas

Distributive Property
i^2 = -1

Theorems

Properties of Complex Numbers

Suitable Grade Level

Grades 10-12