New In our Forum

Re: Reflecting graphs by flagator0012

Re: help with a question by flagator0012

Math Video Game! Play Decimals in Space! Use your reflexes & mathematical knowledge to shoot the right rocks!

A+

A−

Home Page

Algebra

Games

Geometry

Interactive

Trigonometry

Forum

Math Jobs

Top Topics in our Forum'

Topic	Views
Complex Numbers	5736
Proofs.	1851
Is the empty set a proper subset of the empty set?	2477
Absolute value question	3578
Area of Triangle	3741
Convert 324 from base 5 to base 10	2119
x congruency mod 6???	1866
complex numbers	471
How do I find missing angle measures?	4193
find the center and radius of circle (graphing)	1026

Multiply Complex Numbers

How to multiply complex numbers, complex conjugates

To multiply to complex numbers such as (4+5i )(3+2i) , you can treat each one as a binomial and apply the FOIL method to find the product.

multiply the firsts 4 ×3 = 12
multiply the outers 4 × 2i = 8 i
multiply the inners 5i ×3 = 15i
multiply the lasts 5 i × 2 i = 10i²= -10

This page: foil complex binomials | complex conjugate
Related Page:imaginary number |complex number introduction| solving equations with complex numbers | absolute value

Complex Conjugate

Complex conjugates are any pair of complex number binomials that look like the following pattern: (a + bi) & (a-bi)

(3 - 2i )( 3 +2i)
(5 + 12i )( 5 - 12i)
(7 - 33 i )( 7 +33i)

Top

Welcome Guest
Please Log in or register
Who's online: 3 Guests, 0 Users : Please welcome newlove08, our newest member.

How to solve Absolute Value Equations

How to Solve Absolute Value Inequalities

Types of Angles

Transversals & Intersecting Lines

Complementary Angles

Elevation and Depression

Supplementary Angles

Vertical Angles

AveragesBinomial TheoremCalculators and Solvers

Binary, Hexadecimal & Decimal Calculator (Converts between binary, hex , decimal)

Cube Root Calcualor (reduces cube roots to simplest radical form)

Divisibility Rules Calculator

Greatest Common Factor Calculator (Calculates GCF of any two numbers) Free

Mortage Calculator (free online mortgage rate calculator)

Principal Nth Root Calculator (reduces any number to nth root)

Prime Factorization Calculator (Calculates prime factorization of almost any number) Free

Quadratic Formula Calculator and Solver (Watch Quadratic formula in action)

Square Root Calculator Reduces numbers to simplest radical form (free)

Free online Tutorials on how to use TI graphing Calcultors

buy graphing calculator

Cartesian Grid

Interactive Ordered Pairs

Charts

Create a Pie Chart with the Chart Make: Make your own pie chart!

Create A Pie Chart with the Chart MakerCircles (equations, formulas, theorems )

Equation of a circle (Standard Form)

Imaginary Numbers (how to simplify imaginary numbers)

absolute value of complex numbers

How to multiply complex numbers (complex conjugates etc...)

How to divide complex numbers

Multiplicitive invers of a complex number

How to solve equations with complex numbers

Compound Interest

Continuously Compounded Interest (formula &how to calculate)

Conic Sections

Equation of Ellipse

Graph and equation of Hyperbola:

Graph of parabola

Free Math Help : Forum Distance Formula

Interactive Distance Formula

Divisibility Rules & Tests

Quiz and Practice on divisibility rules

Ellipse (equation, foci, graph, formula, axes, vertex)

focus of ellipse

eccentricity

translation of ellipse

orbit of planets (real world ellipses)

as a circle

area of ellipse

laws of exponents

how to solve exponential equations

Exponential Growth Functions (graph, equation, formula)

Exponential growth of populations (how exponential growth functions model real world population growth)

Intective demonstration of Exponential Growth

Exponential Decay functions(graph, equation, formula)

Fractions

Complex Fractions

how to rationalize the denominator

Free Math HelpFormlas : Alphabetical list of math formulasLE

Slope Intercept Form

linear equations in the real world

Slope

Interactive Slope

Parallel and perpendicular lines
- Erroneous Slope

System of Linear Equations

y-intercept of a line

Practice finding the y-intercept

Absolute value functions (linear) : graph & equation

Absolute value inequality functions (linear) : graph & equation

Linear InequalitiesInteractive Linear Inequality

Systems of Linear Inequalities

Interactive System of Linear Inequalities

Logic, Truth Values and Mathematical Statements Matrix (dimensions, notation, rows, columns, addition, subtraction)

How to multiply matrix

Matrix Linear Translation

Mean & Median--Average of a Set of Numbers

Arithmetic Mean, sometimes just called "mean" or "average"

Median

Interactive Mean/Median Activity

Numbers

Complex Numbers (more detail at C above)

Imaginary Numbers

Rational & Irrational

Order of Operations

Order of operations in SAT probleems

Parabolas (How to Graph and Plot)

Interactive Parabola(Click and drag to see formula, equation and graph change)

Vertex and Standard Form Equation of a Parabola

How to convert from standard to vertex form equations of Parabola

Axis of Symmetry of a Parabola

Real World application of parabolas

Inverse of a Parabola (The Square Root Function)

Parallelograms

Interactive Parallelogram

rectangle : shape, theorems, properties

rhombus : shape, theorems, properties

square : shape, theorems, properties

rectangle vs. square

comparison of properties of each type of paralleogram

PercentPolygons Polynomial Equations Probability

permutations in math

Permutations with repeated items

combinations

Programming

Flash Tutorials

How to create a motion Tween

Java

PHP

QuadrilateralsQuadratic Equations

Methods of solving Quadratic Equations

Solve Quadratic Equation by The Quadratic Formula

Solve Quadratic Equation by Factoring

Completing the Square in math

Quadratic Formula Calculator and Solver

Interactive Parabola

How to solve radical equations

Quadratic Inequality

how to graph quadratic inequalty

how to solve and graph quadratic inequality

Math Riddles Math Puzzles Rational Expressions

Simplify Rational Expressions

Relations

Functions in Math

Exponential Growth Functions(graph, equation, formula)

Evaluating functions in math

Composition of functions

One to one functions

Horizontal Line Test

Inverse of a function (solving for)

Inverse of a parabola: Square Root Function

Adding, Subtracting, Dividing and Multiplying Mathematical Functions

Vertical Line Test

Functions Practice Quiz (Classify relations as functions, one-to-one functions or neither)

RatiosScientific NotationTransformations in Math

Compositions of transformations

Triangles

Altitudes

Area

Interactive Triangle

Proving Congruent Triangles

Similar Triangles

Pythagorean Triplets (example and formula)

Right Triangles

Proving the Pythagorean Theorem

Types of Triangles

Miscellaneous

About Math Warehouse

announcements

movies (math, educaion related)

math games online

Math Store

buy graphing calculator

Sudoku (Free online Sudoko, play in real time)Trigonometry

Introduction to Sine, Cosine, Tangent

Inverse Sine, Cosine, Tangent (sin^-1 etc..)

Side angle side formula for area of triangle

Law of Cosines: formula explained with examples

Graph & formula of Unit Circle.

graph of sin(θ)

period of sin(θ) and cos(θ)

translate sine & cosine graphs

s = rθ

pythagorean identitites

angle sum formula

angle difference formula

double angle formula

Vectors in Math

Resultant Vector

Worksheets and Activities Free online math worksheetsMath Store, books, games, puzzlesbuy movie onlinebuy video gamesWord problems on buying video gamesWord problems on buying moviesprobability of dependent eventsprobability of independent eventslaw of sinesambiguous case of the law of sines addition property of equalityisosceles triangle