Examples of Simplifying Expressions
Expressions that include a negative exponent can be simplified by first rewriting the expression with positive exponents.
Factoring Before Simplifying a Rational Expression
Examples of factoring before simplifying a rational expression are presented.
Multiplying Whole Numbers, Part 1: Introduction to Multiplication: Factors and Products
This clip explains that multiplication is "a shortcut for addition." It also introduces the concept of factors, and states that the answer in a multiplication problem is known as the "product."
Multiplying Two Factors with the Same Base
The rules for exponents begin with the rule for multiplying two factors with the same base.
Simplifying a Radical by Factoring the Radicand
Simplifying a radical by factoring the radicand is demonstrated. The goal of simplifying a radical is to make an expression easier to deal with by getting the smallest number possible under the radical sign.
Rationalizing the Denominator with Variables in the Radicand
Rationalizing the denominator with a variable in the radical is demonstrated.
Factoring Problems
Factoring polynomials using three examples to practice procedures and techniques. Be sure the polynomial has been simplified before factoring. Remember that some expressions are not factorable.
Factoring before Multiplying Rational Expressions
If a rational expression is more complicated, factoring before multiplying might be indicated.
Factoring a Denominator to Add Rational Expressions
The process of working with a rational expression that contains a quadratic trinomial in the denominator is illustrated.
Factoring by Inspection
Sometimes the greatest common factor is immediately recognizable. Definition and demonstration of factoring by inspection.