Question 308678: How do I multiply this fraction?
[ (x2 + 3x + 9) / (x2 – 9) ][ (x + 3) / (x3 - 27) ]
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! The trick is to factor the second denominator: (x^3-27)=(x-3)(x^2+3x+9).
At the same time, realize that you CANNOT factor the first numerator!
Having factored this, now divide out the factors of (x+3) and (x^2+3x+9). What is left is all in the denominator (don't forget to leave a factor of 1 in the numerator):
For additional help with FRACTIONS, please see my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Then click on my website. On my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Then choose "Intermediate Algebra", then "Chapter 2", and see Section 2.04. I have a complete explanation of Multiplying and Dividing Fractions that I think you will find my explanation a lot easier to understand than traditional textbooks. Besides this, many of my exercises are solved IN COLOR in the MATH IN LIVING COLOR pages that go with this.
In addition to my written explanations of this topic, there is a video explanation from my own classes from before I retired. To see the video, from my Homepage, look for "Rapalje Videos in Living Color." Choose Intermediate Algebra, and look for the topic on Fractions. All of this is FREE if you have RealPlayer. If you don't have RealPlayer, then it is a FREE download.
I have many other topics from Basic, Intermediate, and College Algebra that are explained in detail, with many of these topics explained on video as well. Everything on the website is FREE.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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