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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.

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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

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figure-out, &

learn.

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

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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)`

*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

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Complex numbers subtraction is explained

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`

The answer is '`4.2`'

*your progress details*

Progress

*About you*

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 '