Simplifying Radicals With Variables
Using the rules for simplifying radicals with numbers in the radicand to simplify radicals with variables.
Rules for Multiplying Two Monomials
The rule for multiplying two monomials and an example demonstrating its execution.
Rules for Multiplying a Longer Expression by a Monomial and Rearranging Polynomials
Multiply a long expression by a monomial by working term-by-term, multiplying each term in the longer expression by the monomial.
More than One Base Inside Parentheses
Simplifying an expression with more than one base contained within parentheses.
Problems Involving Exponents
How to multiply a monomial by itself.
Factor: ax 3x 3b 3y
A polynomial with four terms can be factored by grouping when there is no factor common to all four terms. The procedure is demonstrated and the process checked using the FOIL method and applying the commutative law.
Multiplying a Monomial by a Trinomial
Solving a practical problem algebraically using multiplication of a monomial by a trinomial.
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.
Dividing a Polynomial by a Monomial
Using the rules for exponents to divide a polynomial by a monomial.
Dividing Two Monomials with the Same Base
The rules for exponents includes the rule for dividing two monomials with the same base, as demonstrated here.