I would really love some help factoring this expression. I've been able to understand factoring up until the point where the 1/2 and -1/2 powers come in.
3(2x-1) (2) (x+3)∕ + (2x-1) (1/2) (x+3)-∕
I would really love some help factoring this expression. I've been able to understand factoring up until the point where the 1/2 and -1/2 powers come in.
3(2x-1) (2) (x+3)∕ + (2x-1) (1/2) (x+3)-∕
$\displaystyle \displaystyle 3(2x-1)^2 (2)(x+3)^{\frac{1}{2}} + (2x-1)^3 (\frac {1}{2}) (x+3)^{-\frac {1}{2}}$
$\displaystyle \displaystyle 3(2x-1)^2 (2)\sqrt{(x+3)} + \frac {(2x-1)^3}{2\sqrt{(x+3)}}$
$\displaystyle \displaystyle \frac {(3(2x-1)^2(2)\sqrt{(x+3)})(2\sqrt{(x+3)}) +(2x-1)^3} {2\sqrt{(x+3)}}$
$\displaystyle \displaystyle \frac {3(2x-1)^2(4)(x+3) +(2x-1)^3} {2\sqrt{(x+3)}}$
$\displaystyle \displaystyle \frac {(2x-1)^2 ( (12)(x+3) +(2x-1))} {2\sqrt{(x+3)}}$
....... can you continue ?
For anyone interested in the side topic of character display issues, I have uncovered some preliminary information.
The numbers in the box give a hex code for a UTF-8 encoded character. F0 07 means 0xf007 which in decimal is 61447 which you can see if you view the source code, where it appears as & 61447; without the space after the ampersand.
I'm still trying to see why my system/browser does not display the characters. Relevant links are
general UTF-8 stress test: UTF-8 Sampler (most display fine on my system, but some, like runes at the beginning, do not)
UTF-8 characters in the range 61400-61500: Full UTF-8 Character Map Generator (none of which displays properly with my setup)
Edit: The server for the second link seems to be having issues at the moment, but you can find similar sites with internet search.
Update: Seems to be a font issue. For example when I installed Code2000 I was able to view the runes. Presumably with the right font I will be able to view 0xf007 etc. Possibly it's because I don't have MS Office which comes bundled with some fonts.
Hmm haven't found a font that displays those characters yet. If anyone who sees them properly wants to help me out, you can go here (need JavaScript enabled)
Local Font List
and report for what font(s) it is displayed properly..
My Professor doesn't let us use roots for the most part but requires everything in fractions. This is what I got as a factor for this equation and finally figured out how to copy paste from MathType so the funny characters don't show up. I'm very new to math forums but learning.
$\displaystyle \begin{array}{l}
3{(2x - 1)^2}(2){(x + 3)^{1/2}} + {(2x - 1)^3}(\frac{1}{2}){(x + 3)^{ - 1/2}}\\
{(2x - 1)^2}{(x + 3)^{ - 1/2}}[3(2)(x + 3) + \frac{1}{2}(2x - 1)]\\
{(2x - 1)^2}{(x - 3)^{ - 1/2}}[6x + 18 + x - \frac{1}{2}]\\
{(2x - 1)^2}{(x - 3)^{ - 1/2}}[7x + 17\frac{1}{2}]
\end{array}$