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Lesson 2: Algebra
4 Division of Algebraic Expressions < Back | Next >
Now that you have mastered multiplication of algebraic functions lets go over a few examples of dividing algebraic functions.
Example

Simplify the following: (5xy)(8x2y3) / 10x3y2

The first step is to simplify the top part of the equation. Once this is done we get the following:

(5xy)(8x2y3) / 10x3y2
= 40x3y4 / 10x3y2

Now you can reduce like terms from the top and bottom. For example 40x3 divided by 10x3 will give you 4 and y4 divided by y2 will give you t2 so your final answer should look like this:

(5xy)(8x2y3) / 10x3y2
= 40x3y4 / 10x3y2
= 4y2

Example

Let’s try another example:

2x2y – 6xy / 2x

In this example we will divide the problem into two fractions, both with te denominator 2x

(2x2y/2x) – (6xy / 2x)

Now we will reduce each side such that we get the following:

2x2y – 6xy / 2x
= (2x2y/2x) – (6xy / 2x)
= xy – (6xy / 2x)
= xy – 3y

LESSON 2
1 Introduction to Algebra
2 Adding and Subtracting
3 Multiplication
4 Division
5 Dividing by a Fraction
6 Solving Algebraic Equations
7 Algebraic Formulas
8 Word problems
9 Example Word Problem 1
< Back | Next >

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