Server Error

Server Not Reachable.

This may be due to your internet connection or the nubtrek server is offline.

Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.

User Guide

Welcome to nubtrek.

The content is presented in small-focused learning units to enable you to
think,
figure-out, &
learn.

Just keep tapping (or clicking) on the content to continue in the trail and learn.

User Guide

To make best use of nubtrek, understand what is available.

nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

nub,

trek,

jogger,

exercise.

User Guide

nub is the simple explanation of the concept.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about.

User Guide

trek is the step by step exploration of the concept.

Trekking is bit hard, requiring one to sweat and exert. The benefits of taking the steps are awesome. In the trek, concepts are explained with exploratory questions and your thinking process is honed step by step.

User Guide

jogger provides the complete mathematical definition of the concepts.

This captures the essence of learning and helps one to review at a later point. The reference is available in pdf document too. This is designed to be viewed in a smart-phone screen.

User Guide

exercise provides practice problems to become fluent in the concepts.

This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge.

summary of this topic

### Algebra of Complex Numbers

Voice

Voice

Home

Complex Number Subtraction

»  (a+ib) - (c+id)
by associative, commutative, distributive laws of real numbers and by considering i as a variable
→  =(a-c) + i(b-d)

### Subtraction of Complex Numbers

plain and simple summary

nub

plain and simple summary

nub

dummy

Subtraction of two complex numbers is the subtraction of real and imaginary parts individually.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

Support Nubtrek

You are learning the free content, however do shake hands with a coffee to show appreciation.
To stop this message from appearing, please choose an option and make a payment.

Complex numbers subtraction is explained

Keep tapping on the content to continue learning.
Starting on learning "Subtraction of Complex Numbers". ;; In this page, Complex numbers subtraction is explained.

Consider two complex numbers z_1=a_1+ib_1 and z_2 = a_2+ib_2. What is z_1-z_2?

• (a_1-a_2) + i (b_1-b_2)
• a_1-ib_1
• a_2-ib_2

The answer is '(a_1-a_2) + i (b_1-b_2)'. This is from the associative and distributive laws of real numbers extended to numbers with sqrt(-1).

Complex number Subtraction:
z_1-z_2
quad quad =a_1+ib_1 - (a_2+ib2)
quad quad =a_1-a_2+ib_1-i_b2 (associative law)
quad quad = a_1-a_2+ i(b_1-b2) (distributive law)
quad quad =(a_1-a_2) + i (b_1-b_2) (real and imaginary parts of result)

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Subtraction of Complex numbers : For any complex number z_1=a_1+ib_1 in CC and z_2 = a_2+ib_2 in CC
z_1-z_2 = (a_1-a_2)+i(b_1-b_2)

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given z_1 = 2.1+i and z_2 = -2.1+i What is z_1-z_2?

• 4.2+2i
• 4.2
• 4.2-2i
• -4.2+2i

Progress

Progress

Consider two complex numbers z1=a1+i b1 and z2 = a2+i b2. What is z1 minus z2?
a1 minus a2
a1 minus a2 + i b1 minus b2
a1
a1 minus i b1
a2
a2 minus i b2
The answer is 'a1 minus a2 + i b1 minus b2'. This is from the associative and distributive laws of real numbers extended to numbers with square root minus 1.
Complex number Subtraction: z1 minus z2 ;; equals a1+i b1 minus a2+i b2 ;; equals a1 minus a2+i b1 minus i b2 ; associative law ;; equals a1 minus a2+ i b1 minus b2 ; distributive law ;; equals a1 minus a2 + i b1 minus b2 ; real and imaginary parts of result
Subtraction of two complex numbers is the subtraction of real and imaginary parts individually.
Subtraction of Complex numbers : For any complex number z1=a1+i b1 in complex numbers and z2 = a2+i b2 in complex numbers ;; z1 minus z2 = a1 minus a2+i b1 minus b2
Given z 1 = 2 point 1+i and z 2 = minus 2 point 1+i. What is z 1 minus z 2 ?
plus 2i;
4 point 2+2i
4.2
4 point 2
minus 2i
4 point 2 minus 2i
minus 4.2
minus 4 point 2+2i
The answer is ' 4 point 2 '

we are not perfect yet...