
The combining of like factors from two radicals into one and then the simplification of the result.


Just a quick couple of examples, one explaining the relationship between squaring and square rooting and one that just shows how to multiply two radical expressions that need no reduction.


The key to solving this equation is eliminating the fractions first by multiplying by the least common denominator and dividingout equal factors. Note that the integer term must be multiplied by…


Simplifies a complex fraction by distributing the LCD of each small fraction across the top and the bottom so that all small fractions can be swept away.


This demonstrates adding two rational expressions that have different terms individually in the numerator and a common denominator. When the fractions are added, it creates the possibility of adding…


A brief informal reasoning of why any division can be changed to a multiplication by reciprocating the second number or fraction, i. e. the number going into the other number. Then an example of…


A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator…


A quick F.O.I.L. pattern to multiply two binomails. One of the variable terms is negative.


Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.


A short demo of this rule


The product rule is stated in general and then applied to an example.


This states the Multiplicative Propery of Inequality, then demonstates how it works with two examples.


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


Some discussion of vocabulary combined with writing a simple expression from a verbal description.


An examplel of how to rearrange a formula to better suit its particular purpose. Often we need to do this because it is easier to rearrange it once instead of having to solve for a variable each…


A simpler version of an equation that needs distribution across a set of parenthese as the first step to solving for the variable
