Server Not Reachable. *This may be due to your internet connection or the nubtrek server is offline.*

Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

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.continue

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.continue

Welcome to **nub****trek**.

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. continue

The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

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.

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

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. continue

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. continue

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. continue

Voice

Voice

Home

Complex Algebraic Identities

» All identities of real-numbers holds

→ `(a+b)^2 = a^2+2ab+b^2`

→ `(a-b)^2`, etc.

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

• Algebraic identities are same as that of real numbers.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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.*

The algebraic identities of complex number is same as that for real numbers.

Starting on learning "Algebraic Identities for Complex numbers". ;; In this page you will learn that The algebraic identities of complex number is same as that for real numbers.

Which of the following are examples of algebraic identities?

- `(a+b)^2 = a^2+2ab+b^2`
- `(a-b)^2 = a^2-2ab+b^2`
- `a^2-b^2 = (a+b)(a-b)`
- all the above

The answer is 'all the above'

If an algebraic identity is true for real numbers, will that be true for complex numbers?

- No, it will not be true at all
- Yes, for all identities with four fundamental operations

The answer is 'Yes, for all identities with four fundamental operations'.

The four fundamental operations like

• addition,

• subtraction,

• multiplication, and

• division define the properties

• associative,

• commutative

• distributive.

The algebraic identities employ the properties of the operations given above. Between real numbers and complex numbers the properties are same. So the algebraic identities will hold true.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Algebraic Identities: ** `(z_1+z_2)^2 = z_1^2+ 2z_1z_2+z_2^2`

`(z_1-z_2)^2 = z_1^2 - 2z_1z_2+z_2^2`

`(z_1+z_2)(z_1-z_2) = z_1^2 - z_2^2`

`(z_1+z_2)^3 = z_1^3+z_2^3+ 3z_1^2z_2+ 3z_1z_2^2`

and so on.

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

*your progress details*

Progress

*About you*

Progress

Which of the following are examples of algebraic identities?

plus;+

a + b whole squared = a square plus 2 a b + b squared

minus

a minus b whole squared = a squared minus 2 a b + b squared

squared minus;squared -

a squared minus b squared = a + b multiplied a minus b

all;above

all the above

The answer is 'all the above'

If an algebraic identity is true for real numbers, will that be true for complex numbers?

no;not

No, it will not be true at all

s;yes;4;four

Yes, for all identities with four fundamental operations

The answer is 'Yes, for all identities with four fundamental operations'.

The four fundamental operations like ;; addition, subtraction, multiplication, and division ;; define the properties ; associative, commutative, and distributive. ;; The algebraic identities employ the properties of the operations given above. Between real numbers and complex numbers the properties are same. So the algebraic identities will hold true.

Algebraic identities are same as that of real numbers.

Algebraic Identities: z1+z2, squared = z1 squared + 2 z1 z2+z2 squared ;; z1 minus z2 squared = z1 squared minus 2 z1 z2+z2 squared ;; z1+z2 multiplied, z1 minus z2 = z1 squared - z2 squared ;; and so on.