Search for tag: "expressions"

Introduction to simplifying a product of higher roots

In this example, the multiplication of two fourth-roots of numbers is shown and the reduction of the result

From  Tom Grant 11 plays 0  

Adding rational expressions with linear denominators without common factors: Basic

A subtraction of fractionso where the denominators have no factors in common so we simpllly multiply the two together to create the LCD. Then both fractions are adjusted by multiplying each…

From  Tom Grant 9 plays 0  

Adding rational expressions with linear denominators with common factors: Basic

This shows how to determine a common denominator when the denominators share at least one factor. A numerical version is included for more understanding, and the rational expressions are added and…

From  Tom Grant 22 plays 0  

Adding rational expressions with common denominators & GCF factoring

An example that is easy to combine with subtraction, in this case, because the two fractions have common denominators. However, be aware that there may be a way to simplifying the answer further. …

From  Tom Grant 6 plays 0  

Multiplying rational expressions involving multivariate monomials

A short reminder of how to reduce first and then multiply two numerical fractions. Then we apply the same priciples to reducing like factors in an example with more than one variable and numerical…

From  Tom Grant 5 plays 0  

Greatest common factor of two multivariate monomials

Expands each monomial as a list of all of its prime factors, then showing those that both lists have in common to develope the GCF.

From  Tom Grant 23 plays 0  

Multiplication involving binomials and trinomials.

A demo of this topic where I stack the l ike terms in columns as a perform the distributions connecting each term of the first polynomial to each term in the other.

From  Tom Grant 17 plays 0  

Solving a word problem with two unknowns using a linear equation.

This shows how to represent the two unknowns using their given relationship so that a linear equation can be written using one variable. Then that equation is solved to answer the question

From  Tom Grant 17 plays 0  

Translating a sentence into a multi-step equation

Shows how to interpret a verbal description into an mathematical equation.

From  Tom Grant 15 plays 0  

Multiplicative property of equality with whole numbers

A quick statement of the property followed by two examples of its use.

From  Tom Grant 6 plays 0  

Additive property of equality with whole numbers

A short demo involving subtracting whole numbers from both sides of an equation. There are two examples.

From  Tom Grant 4 plays 0  

Rationalizing a denominator: Quotient involving a monomial

Two quick demonstratoins of a rational expression containing radicals being ratioinalized by multiplication of a form of one to transform a radical in the denominantor to a whole number.

From  Tom Grant 17 plays 0  

Simplifying a quotient involving a sum or difference with a square root

This demonstrates creating a multiplication in the numerator of a rational expression that will allow the expression to be reduced by dividing like factors to simply one

From  Tom Grant 11 plays 0  

Special products of radical expressions: Conjugates and squaring

This demonstrates the squaring of a binomial with radical terms and the multiplication of conjugates (sum and differences of the same terms)

From  Tom Grant 15 plays 0  

Simplifying a quotient involving a sum or difference with a square root

Demonstrations that emphasize the fact that a fraction bar acts like parentheses in that the each part of the fraction must be factored so that there is a product of factors on both top and bottomof…

From  Tom Grant 17 plays 0  

Special products of radical expressions: Conjugates and squaring

A demonstration of squaring a binomial with radical terms and then a second example showing how conjugate binomials can be multiplied.

From  Tom Grant 12 plays 0