Math Problem Statement

Simplify the expression to a + bi form: (−4+10i)+(5+3i)

Solution

To simplify the expression (4+10i)+(5+3i)(−4 + 10i) + (5 + 3i) to the form a+bia + bi, we add the real parts and the imaginary parts separately.

Here's the step-by-step process:

  1. Add the real parts: 4+5=1-4 + 5 = 1.
  2. Add the imaginary parts: 10i+3i=13i10i + 3i = 13i.

So, the simplified expression is:

(4+10i)+(5+3i)=1+13i(−4 + 10i) + (5 + 3i) = 1 + 13i

Final Answer:

1+13i1 + 13i

Would you like to see more details, or do you have any questions?

Related Questions:

  1. How do you add or subtract complex numbers?
  2. What is the magnitude of the complex number 1+13i1 + 13i?
  3. How do you multiply two complex numbers?
  4. How can you find the conjugate of a complex number?
  5. How do you divide complex numbers?

Tip: Always combine the real and imaginary parts separately when dealing with complex numbers!

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Addition of Complex Numbers

Formulas

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Theorems

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Suitable Grade Level

Grades 11-12