Multiplying Rational Expressions
Demonstration of the procedure for multiplying rational expressions.
More About Using Least Common Multiples
The least common multiple strategy reveals a system of equations that has not solution.
Multiplying Both Sides of an Equation by -1
By multiplying both side of an equation by negative one, you can change negative signs to positive, making an equation easier to work with.
Identifying Linear Equations
How to identify a linear equation.
Problems Involving Exponents
How to multiply a monomial by itself.
Practical Algebraic Problem: Finding Total Earnings
An example of how to use a simple algebraic equation to determine total earnings from a part time job.
Practical Problem: Finding Volume
A practical problem about volume is solved using division of a rational expression.
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.
Shortcut for Simplifying Radicals Before and After Multiplying
To avoid having to find perfect square factors for a large number by multiplying two radicals, first look for a common factor in the radicands that can be factored, then multiply.
Factor: ab – 2a 3b - 6
The polynomial expression ab — 2a 3b - 6 is factored by grouping and the solution checked. The factors check when the terms and their signs are the same as those in the original polynomial.