multiplication of algebraic expressions.

I searched Google under the key words "multiplication 'algebraic expressions'" to get these possible sources:

http://www.intmath.com/Basic-algebra/2_Multiplication-algebra.php
http://cstl.syr.edu/FIPSE/Algebra/Unit2/multiply.htm
(Broken Link Removed)
http://library.thinkquest.org/20991/alg2/frace.html#mult
http://www.wisc-online.com/objects/index_tj.asp?objID=GEM1904

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search.

I hope this helps. Thanks for asking.

To multiply algebraic expressions, follow these steps:

Step 1: Identify the terms in each expression. A term is a combination of a constant and one or more variables raised to powers.

Step 2: Multiply the coefficients of the terms together. The coefficient is the number in front of the variable.

Step 3: Multiply the variables together. When multiplying variables with the same base, add the exponents.

Step 4: Combine the coefficients and variables to get the simplified expression. Write the terms in ascending order of the variables' exponents.

Here's an example:

Expression 1: 3x
Expression 2: 2x^2

Step 1: Identify the terms:
Expression 1 has one term: (3)(x)
Expression 2 has one term: (2)(x^2)

Step 2: Multiply the coefficients:
(3)(2) = 6

Step 3: Multiply the variables:
Merge the x terms: x * x^2 = x^(1+2) = x^3

Step 4: Combine the coefficients and variables:
The simplified expression is 6x^3.

I hope this step-by-step explanation helps!

To multiply algebraic expressions, follow these steps:

1. Distributive Property: Multiply each term in one expression by each term in the other expression. This is similar to the concept of FOIL (First, Outer, Inner, Last) when multiplying binomials.

2. Combine Like Terms: Simplify the expression by combining like terms, which are terms that have the same variables raised to the same powers.

Here's an example to illustrate this process:

Consider the multiplication of the expressions (2x + 3)(4x - 5).

Step 1: Distributive Property
Multiply the first term of the first expression (2x) by each term of the second expression (4x and -5), and then multiply the second term of the first expression (3) by each term of the second expression.

(2x)(4x) + (2x)(-5) + (3)(4x) + (3)(-5)

Simplify the above expression:

8x^2 - 10x + 12x - 15

Step 2: Combine Like Terms
Combine the like terms to simplify the expression:

8x^2 + 2x - 15

The final result is 8x^2 + 2x - 15.

Remember, practicing more examples and exercises will make you more proficient in multiplying algebraic expressions.