(50x+25/x^2)/((2)sqrt[25x^2-(25/x)]

simplified = 5(2x^3+1)/((2)sqrt[x^3(x^3-1))]

I need help on simplifying top to bottom - cannot figure how to get there!!!

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- June 22nd 2008, 10:28 AMweezie23Simplifing
(50x+25/x^2)/((2)sqrt[25x^2-(25/x)]

simplified = 5(2x^3+1)/((2)sqrt[x^3(x^3-1))]

I need help on simplifying top to bottom - cannot figure how to get there!!! - June 22nd 2008, 10:52 AMMoo
Hello :)

First of all, thank you very much because you put the brackets just like you had to do !

Now, the problem ^^

You can notice that in the solution, there is no more 25 or 50, etc... So we'll simplify by factoring as much as possible ;)

But so :

Simplify by 5 :

Now, you can notice that the red term is very similar to what you want to get : .

Actually, .

This gives you the trick : multiply the denominator & the numerator by

--->

But .

(Sun)

Is it clear enough ? :)