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Factor: c2 - cd   c - d
01:11

Factor: c2 - cd c - d

Although a factor of one is not usually written in an expression, it sometimes helps to write it down in order to remember that it is part of the factor and can be used, as demonstrated in the example c2 - cd c - d.

Multiplying Two Factors with the Same Base
01:35

Multiplying Two Factors with the Same Base

The rules for exponents begin with the rule for multiplying two factors with the same base.

Some Problems are More Easily Solved Using Two Variables
04:54

Some Problems are More Easily Solved Using Two Variables

A practical problem is presented that demonstrates a situation in which two variables and a system of equations is the easiest way to reach a solution.

Solving a Rate-Time-Distance Problem Using One Variable
04:35

Solving a Rate-Time-Distance Problem Using One Variable

How to write an equation with one variable to solve a practical problem involving rate, time, and distance using a table to help organize the information.

Identify for Multiplication
00:47

Identify for Multiplication

The identity for multiplication is one. It applies to all numbers and to algebraic variables and expressions.

Rules for Multiplying Two Monomials
00:51

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
00:46

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.

Recognizing Terms in an Expression
00:51

Recognizing Terms in an Expression

Identifying terms within an algebraic expression.

Factoring before Multiplying Rational Expressions
02:35

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
01:42

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.