Prove:⁡⁡ (a⁡+⁡b⁡i)(c⁡+⁡d⁡i)⁡ = ⁡(ac⁡-⁡bd) + ⁡(ad⁡+⁡bc)⁡i

preview_player
Показать описание
Complex Numbers: Multiplication of two complex numbers. To prove (a+bi)(c+di) = (ac-bd) + (ad+bc)i, start with the left-hand side members of the given equation. Simply follow the steps on how to expand the product of two binomials. After that, combine similar terms until the right-hand side members of the given equation are obtained.

Take note, imaginary number i = √(-1) or (i^2) = -1.

Mharthy's Channel's Playlists:

  1. Mharthy's Channel
  2. mharthy’s channel
  3. mharthy’s
  4. mharthy
  5. channel
  6. mathematics
Рекомендации по теме
If a|b and 0:01:24

If a|b and c|d, then ac|bd

Prove Rule for 0:02:53

Prove Rule for Product of Fractions a/b c/d=ac/bd | Fractions | Product of Fractions Pythagoras Math

Two Column Proof. 0:07:55

Two Column Proof. Draw Line Segment Prove AC = BD

Prove that (a/b)+(c/d)=(ad+bc)/(bd) 0:02:17

Prove that (a/b)+(c/d)=(ad+bc)/(bd) {simple explanation}

In figure 5.10 0:00:58

In figure 5.10 I If AC=BD,then prove that AB=CD I

If a/b=c/d then 0:02:22

If a/b=c/d then prove that ac+bd/ac-bd=a²+b²/a²-b²

If a/b=c/d then 0:03:57

If a/b=c/d then a/b=(a+c)/(b+d) mathematical proof

How to derive 0:02:56

How to derive (a,b)(c,d)=(ac-bd,ad+bc)

In figure 5.10, 0:02:57

In figure 5.10, If AC =BD ,then prove that AB=CD I

In the given 0:01:51

In the given figure AB=CD, Find AC=BD and why❓

In Fig 5.10 0:02:56

In Fig 5.10 If AC=BD Then Prove That AB=CD | Class 9th Maths Chapter 5 Exercise 5.1 Question 6

If a:b=c;:d, let 0:02:14

If a:b=c;:d, let us show that, (a2+b2): (c2-d2)=(ac+bd):(ac-bd) | Ratio & Proportion | Hindi | A...

Direct Proof: If 0:01:46

Direct Proof: If a|b and b|c, then a|c

prove that AB 0:00:31

prove that AB = CD when AC = BD #shorts

In A Quadrilateral 0:08:14

In A Quadrilateral ABCD, Show that (OA+OB+OC+OD) gt (AC+BD)

If AC=BD, find 0:00:52

If AC=BD, find AB=CD and why?

In Fig. if 0:01:57

In Fig. if AC=BD, then prove that AB=CD.

ABCD is a 0:02:19

ABCD is a parallelogram with AC and BD as diagonals. Then, AC – BD is equal to:

Congruence Modulo n 0:05:17

Congruence Modulo n Multiplication Proof - Clever Proof

ABCD is a 0:06:44

ABCD is a trapezium with AB∥CD. If ∆AED is similar to ∆BEC, prove AD=BC. @khajaacademymathematica172...

Simplify: (a+b)(c+d)+ (a-b)(c+d)+ 0:02:18

Simplify: (a+b)(c+d)+ (a-b)(c+d)+ 2(ac+bd)

If a ≡ 0:11:45

If a ≡ b (mod m) and c ≡ d (mod m), then ac ≡ bd (mod m). || A nice congruence math Olympiad theorum...

In a rectangle 0:03:08

In a rectangle ABCD, prove that : AC^(2)+BD^(2)=AB^(2)+BC^(2)+CD^(2)+DA^(2). | 9 | PYTHAGORAS TH...

If (ad-bc)/(a-b-c+d)=(ac-bd)/(a-b+c-d) then 0:02:09

If (ad-bc)/(a-b-c+d)=(ac-bd)/(a-b+c-d) then show that each ratio=(a+b+c+d)/4