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
Lets 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
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