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.
Rational Expressions that Equal - 1
Rational expressions that equal -1 are recognizable: the terms in the numerator are identical to the terms in the denominator except for their signs, which are opposite.
Simplifying Complex Expressions
Applying the rules for exponents to simplifying more complex expressions.
Simplifying An Expression Using Many Rules
Practice applying the rules for exponents to simplifying complex expressions.
Simplifying Expressions with Negative Exponents
Another expression is reduced to its simplest form, demonstrating the rule for dividing two monomials with the same base.
Examples of Simplifying Expressions Written in Parentheses
Using more than one of the rules for exponents to simplify expressions written with parentheses.
Subtraction Problem That Requires Factoring, A
Solving a problem in which both denominators are quadratic trinomials is demonstrated.
Subtracting Rational Expressions
Rational expressions with the same number in the denominator are subtracted.
Two Approaches for Dividing Radicals
Two approaches to simplifying radical expressions using division when the radical in the numerator and the radical in the denominator are perfect squares. Another guideline for simplifying radicals is introduced: all fractions must be reduced to low...
Solve: 3x(x - 2) = 14
The equation 3x(x - 2) = 14 is solved using the quadratic formula.