Please enable JavaScript.
Coggle requires JavaScript to display documents.
Definition of Mathematics - Coggle Diagram
Definition of Mathematics
At its core, mathematics is the name we give to the collection of all
possible patterns and interrelations
Mathematics is said to cover three areas:
Arithmetic
• Geometry, including Trigonometry and Conic Sections
• Mathematical analysis, in which letters and symbols are used, and which includes algebra, geometry and calculus
Monomial Multiplication
To multiply monomials it will not be necessary for them to be like terms.
Monomial Division
To divide polynomials it is not necessary that they be like terms either.
Monomial potentiation
Let us always remember that a monomial has a numerical part and a literal part.
Monomial Radiation
As in empowerment, in the case of filing we must work for
separate the numeric part and the literal part.
Sum of Polynomials
In a polynomial we can add or subtract only the like terms, everything
others will be exactly the same.
Multiplication of Polynomials
In the multiplication of polynomials we will have to multiply all the terms
among them.
Remarkable products
There are some characteristic answers for some cases in which we must
multiply, these are the remarkable products.
Notable Products (The Cube of a Binomial)
The cube of a binomial is equal to the cube of the first term plus three times the square of the first term times the second term plus three times the first term times the square of the second term plus the cube of the second term.
Solving Equations
An equation is an equality between two quantities or expressions.
Solving Equations with Grouping Signs
To solve this type of equations, we must first suppress the grouping signs considering the law of signs, and if there are several groupings, we develop the operations from the inside out.
Algebra
Algebra is the branch of mathematics in which letters are used to represent
arithmetic relations
Algebraic expressions
Algebraic expressions are all those that have a numerical part and a part
literal
Similar Terms
Before proceeding to evaluate the different operations with monomials, it is worth seeing this
concept, that of like terms.
Addition and Subtraction of Monomials
In order to add or subtract monomials, these must be like terms.