Unary operations | Integer sequences | Figurate numbers | Elementary arithmetic | Number theory

Cube (algebra)

In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together.The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3. The cube is also the number multiplied by its square: n3 = n × n2 = n × n × n. The cube function is the function x ↦ x3 (often denoted y = x3) that maps a number to its cube. It is an odd function, as (−n)3 = −(n3). The volume of a geometric cube is the cube of its side length, giving rise to the name. The inverse operation that consists of finding a number whose cube is n is called extracting the cube root of n. It determines the side of the cube of a given volume. It is also n raised to the one-third power. The graph of the cube function is known as the cubic parabola. Because the cube function is an odd function, this curve has a center of symmetry at the origin, but no axis of symmetry. (Wikipedia).

Cube (algebra)
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Algebra for Beginners | Basics of Algebra

#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten

From playlist Linear Algebra

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What is the Cube Root of a Number? | Don't Memorise

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From playlist Cubes and Cube roots Class 08

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What’s the difference of two squares?

This is a short animation showing one way to think of the difference of squares formula (at least when the two numbers involved are positive). #manim #math #proofwithoutwords #visualproof

From playlist Algebra

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Groups in abstract algebra examples

In this tutorial I discuss two more examples of groups. The first contains four elements and they are the four fourth roots of 1. The second contains only three elements and they are the three cube roots of 1. Under the binary operation of multiplication, these sets are in fact groups.

From playlist Abstract algebra

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Difference of Two Cubes - Practice 1

Introduction problems in applying the difference of two cube formulas

From playlist Algebra

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What is the Cube of a Number? | Don't Memorise

To learn more about Cube and Cube Roots, enrol in our full course now: https://bit.ly/CubesAndCubeRoots In this video, we will learn: 0:00 Introduction 0:12 cube of a number 0:37 applications of a cube of a number 2:21 sign of the cube of the number is the same as the sign of the number

From playlist Cubes and Cube roots Class 08

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Picturing the Difference of Two Cubes

Understanding the difference of two cubes in terms of a geometric picture

From playlist Algebra

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Difference of Two Cubes - Practice 2

More practice with the difference of two cubes

From playlist Algebra

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Square Roots, Cube Roots, and Other Roots

What are these funny little symbols? They're roots! Taking the square root of something give you the number that, when squared, gives the original number. Cube roots are the same, but they are the opposite of cubing. I'm not explaining it very well right now, but that's what this clip is f

From playlist Algebra 1 & 2

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Asymptotics of number fields - Manjul Bhargava [2011]

Asymptotics of number fields Introductory Workshop: Arithmetic Statistics January 31, 2011 - February 04, 2011 January 31, 2011 (11:40 AM PST - 12:40 PM PST) Speaker(s): Manjul Bhargava (Princeton University) Location: MSRI: Simons Auditorium http://www.msri.org/workshops/566

From playlist Number Theory

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Special FACTORING Rules – REQUIRED Knowledge For ALGEBRA

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From playlist GED Prep Videos

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Extension Fields as Vector Spaces

This video covers material from Chapter 12 in Robert Redfield's "Abstract Algebra: a Concrete Introduction"

From playlist Modern Algebra - Chapter 12

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Algebra Factoring Polynomials

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From playlist Algebra

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algebraic geometry 31 Rational maps

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of rational functions and rational maps, and gives an example of a cubic curve that is not birational to the affine line.

From playlist Algebraic geometry I: Varieties

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How to Prove a Number is an Algebraic Number: Example with cuberoot(2) + sqrt(3)

How to Prove a Number is an Algebraic Number: Example with cuberoot(2) + sqrt(3) If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are sev

From playlist Numbers

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Evaluating an algebraic expression in a word problem | Algebra I | Khan Academy

In this example of evaluating expressions, we're dusting off some geometry. On top of that, it's a word problem. We're seeing how different concepts in math are layered on top of each to create more interesting and complex problems to solve. Practice this lesson yourself on KhanAcademy.or

From playlist Algebra Foundations

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Simplify the numeric expression – NO CALCULATOR, be careful! Easy to make a mistake…

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From playlist GED Prep Videos

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Sum of Two Cubes - Understanding the Formula

Understanding why the sum of two cubes is factored into its common formula representation

From playlist Algebra

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Simplifying cube roots | Exponent expressions and equations | Algebra I | Khan Academy

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From playlist Exponent expressions and equations | Algebra I | Khan Academy

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