document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202817>Question 202817</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To whomever decides to help me.\r<BR>\n" );
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document.write( "I have been working on this problem ALL DAY LONG!  Here it is: \r<BR>\n" );
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document.write( "((x+2)*(1/2)(x+1)^(-1/2)-(x+1)^(1/2))/(x+2)^(2).  \r<BR>\n" );
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document.write( "I have gotten several different answers. I am unsure of what I am doing wrong. At first I tried bringing down the negative exponent and then canceling out,  I got (-1/2)/(x+2)but I don't think that it is correct.  All the other sulutions are a bunch of mumble jumbles. I thought maybe I should convert into rational terms  but I ended with an imaginary number (SQRT of 1/2) in the domnimator but I don't think that is correct at all.  \r<BR>\n" );
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document.write( "Any help at all would be greatly appreciated.\r<BR>\n" );
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document.write( "Thanks you soooooo muchs!<BR>\n" );
document.write( "Maggie<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152979 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=152979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{(x+2)\left(\frac{1}{2}\right)(x+1)^{-\frac{1}{2}}-(x+1)^{\frac{1}{2}}}{(x+2)^2}\"> ... Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{\frac{(x+2)\left(\frac{1}{2}\right)}{(x+1)^{\frac{1}{2}}}-(x+1)^{\frac{1}{2}}}{(x+2)^2}\"> ... Rewrite <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (x+1)^{-\frac{1}{2}}\"> as <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{(x+1)^{\frac{1}{2}}}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{(x+2)\left(\frac{1}{2}\right)-(x+1)^{\frac{1}{2}}(x+1)^{\frac{1}{2}}}{(x+1)^{\frac{1}{2}}(x+2)^2}\"> ... Multiply EVERY term by the inner LCD <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (x+1)^{\frac{1}{2}}\"> to clear out the inner fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{(x+2)\left(\frac{1}{2}\right)-(x+1)}{(x+1)^{\frac{1}{2}}(x+2)^2}\"> ... Multiply and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{\left(\frac{1}{2}\right)(x+2)-(x+1)}{(x+1)^{\frac{1}{2}}(x+2)^2}\"> ... Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{\frac{1}{2}x+1-x-1}{(x+1)^{\frac{1}{2}}(x+2)^2}\"> ... Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{-\frac{1}{2}x}{(x+1)^{\frac{1}{2}}(x+2)^2}\"> ... Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{-\frac{1}{2}x}{\sqrt{x+1}(x+2)^2}\"> ... Convert to radical notation\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{(x+2)\left(\frac{1}{2}\right)(x+1)^{-\frac{1}{2}}-(x+1)^{\frac{1}{2}}}{(x+2)^2}\"> simplifies to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{-\frac{1}{2}x}{\sqrt{x+1}(x+2)^2}\">\r<BR>\n" );
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document.write( "I hope this is what you're looking for. If not, then either email me or repost. </SPAN>\n" );
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