Processing Math: Done
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.
No jsMath TeX fonts found -- using image fonts instead.
These may be slow and might not print well.
Use the jsMath control panel to get additional information.
jsMath Control PanelHide this Message

jsMath

Solution 2.1:7c

From Förberedande kurs i matematik 1

Revision as of 13:02, 16 September 2008 by Ian (Talk | contribs)
Jump to: navigation, search

We multiply the top and bottom of the first term by a+1, so that both terms then have the same denominator,


axa+1a+1a+1−ax2a+12=a+12axa+1−ax2


Because both terms in the numerator contain the factor ax, we take out that factor, obtaining


a+12axa+1−x

and see that the answer cannot be simplified any further.

NOTE: It is only factors in the numerator and denominator that can cancel each other out, not individual terms. Hence, the following "cancellation" is wrong:


a+12axa+1−x=a+1ax−ax2

Retrieved from "http://wiki.math.se/wikis/2008/bridgecourse1-ImperialCollege/index.php/Solution_2.1:7c"