#1
Hey guys, i'd like to see if anyone can enlighten me on the process of this bit on rational functions...

"4x and 6x^2 is 24x^3 but a simpler common denominator is 12x^2"

Now the ability to do that underpins 3 topics of the module but there's no reasoning given for it at all, so, any help?
#2
what?
4x + 6x^2 = 24x^3 = 12x^2 ?
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#3
4x X 6x^2 = 24x^3 not 12^2.

I don't see where you get that from.
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#4
It's looking for a lowest common denominator within the topic of rational functions

Indeed if you were adding two fractions you'd find the product of the denominators (which gives 24x^3) but it says that a simpler common denominator is 12x^2 and that sort of simplifying is used throughout most of the the module and it's really bizarre to me
#5
If you wan't to add two fractions with 4x and 6x^2 as your denominator, you don't multiply them, you just find the lowest common denominator which is 12x^2.

Multiplying them gives you 24x^3, but that isn't the lowest common denominator.
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#6
4x X 6x^2 = 24x^3 = 12x^2(2x)

not really sure what exactly you are trying to do with the problem, but thats the best i can do.