How do I express the answer as a fraction without negative exponents?
thanks!
2007-01-31 08:02:25 · 6 answers · asked by Jen ... 2 in Science & Mathematics ➔ Mathematics
(2x-2)((2x-1)^1/2)
or you can write it as
(2x-2)*sqrt(2x-1)
2007-01-31 08:08:55 · answer #1 · answered by Bill F 6 · 0⤊ 0⤋
As stated before, recall the 1/2 power means sqrt. So the question is asking you to factor 2x*sqrt(2x-1) - 2*sqrt(2x-1).
To make it simpler to look at, let's pretend for a moment that the sqrt(2x-1) is B. So your problem actually says 2xB - 2B.
Now we want to factor that expression. Since each term of the binomial has a B (the sqrt) and also a 2, those are the common factors. Rewrite as a pair of factors, with 2B on the outside of the parenthesis and inside the parenthesis will be what is left are you divide each term by 2B:
2B(x-1)
Replace the B with the sqrt again and your answer is 2(x-1)sqrt(2x-1)
2007-02-01 02:21:32 · answer #2 · answered by T F 4 · 0⤊ 0⤋
No fraction needed.
Factor to 2(x - 1)(2x - 1)^1/2
2007-01-31 08:06:19 · answer #3 · answered by MamaMia © 7 · 0⤊ 0⤋
So easy, you can do it yourself:
divide them to 2(2x-1)^1/2 do you know why? because it exists in both of them and has the least power,now we have:
2(2x-1)^1/2 [x - 1]
2007-01-31 08:09:26 · answer #4 · answered by Sam 1 · 0⤊ 0⤋
Remember x^1/2 = âx
2x(2x - 1)^1/2 - 2(2x - 1)^1/2?
= 2xâ(2x - 1) - 2â(2x - 1)
= (2x - 2)â(2x - 1)
= 2(x - 1)â(2x - 1)
2007-01-31 08:08:45 · answer #5 · answered by Tom :: Athier than Thou 6 · 0⤊ 0⤋
2x-2*sqrt(2x-1)
2007-01-31 08:08:25 · answer #6 · answered by Anonymous · 0⤊ 0⤋