Simplifying Rational Expressions
Simplifying rational expressions is like reducing rational numbers. First fully factor the numerator and denominator and then cancel all the common factors. The process is illustrated step by step.
Factor 27x10y3z15 - 9x9y3x9
Practice factoring: 27x10y3z15 - 9x9y3z9
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 with (-1) to Rewrite a Polynomial
Factoring with negative numbers. Using negative one to change the signs of each term in an expression.
Renaming Fractions: Reducing Fractions
This c lip explains the process of renaming fractions in lower terms, which is called "reducing" the fraction. While renaming fractions in higher terms is accomplished by multiplying through, renaming (or reducing) the fraction in lower terms is acc...
Adding Rational Expressions with Different Denominators
Rational expressions with different denominators are added and the procedure explained.
Adding and Subtracting Rational Expressions
The rules for adding and subtracting rational expressions are similar to those for adding and subtracting rational numbers, beginning with the rule that in order to be added, rational numbers must have the same denominator. Addition examples are dem...
Adding Rational Expressions: Practice Problem
Rational expressions with different denominators are added.