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...
Additional Problem That Requires Factoring, An
A shortcut for working with rational expressions with a denominator that need to be factored is presented.
Monomials with Exponents Outside of Parentheses
The rule for raising a power to a power is demonstrated in simplifying a monomial in which an exponent is outside parentheses.
Exponent of Zero
Simplifying an expression with an exponent of zero.
Simplify first by Combining Like Terms
Equations can sometimes be simplified to present the same information in a form that is easier to work with. Simplify whenever possible by combining like terms.
Order of Radicals and Exponents, The
In algebraic expressions, radicals and exponents are completed first.
Treating the Numerator and the Denominator as a Package
Numerators and denominators are packages that cannot be broken up, and must first be simplified.
Examples showing the Order of Operations
The order of operations is demonstrated in three examples.
Denominator of a Simplified Expression Never Has Radicals, The
A guideline is presented: a simplified radical expression never has radicals in the denominator. An expression with a radical in the denominator, but not in the numerator, is simplified using the identity property of multiplication and the process o...
Dividing a Polynomial by a Monomial
Using the rules for exponents to divide a polynomial by a monomial.