Question 314420: 12x^-10x over 6x^-11x+5x
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! This doesn't look right to me. Are you sure you copied it correctly?
Did you happen to mean this: ???
If so, then factor the numerator and denominator. The numerator needs to have a common factor of 2x taken out, and the denominator is a TRINOMIAL that needs to be factored. In fact, the denominator is what I call "Advanced Trinomial Factoring."
Notice that the (6x-5) factor divides out!!
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For additional help with several topics that were needed in this problem, please see my OWN website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Click on my website which is given there, and look on my Homepage for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Select "Basic Algebra", and look in "Chapter 2" for "2.03 Factoring the Common Factor" AND "2.06 Advanced Trinomial Factoring" AND in "Chapter 3" for "3.01 Reducing Fractions". In addition to a detailed explanation, with examples, exercises, and ALL the answers, many of the exercises are solved IN COLOR on the "Math in Living Color" pages that go with these sections.
Also, if you have trouble with FACTORING, I have a video that was made a few years ago in one of my classrooms, that can be viewed from my website FREE. To see the videos look on my Homepage for the link "Rapalje Videos in Living Color." Choose "Basic Algebra". Let me know if they help, or if you have questions--my Email address is at the bottom of each page of my website. Math is usually not as hard as it looks!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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