document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93260>Question 93260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi there, <BR>\n" );
document.write( "I asked the following question before and I had a solution given to me, I do not understand some of it though, some guidance would be great.<BR>\n" );
document.write( "s=u.(v-u)/a + 1/2a((v-u)/a)^2 <BR>\n" );
document.write( "it should end up as v^2=u^2+2as \r<BR>\n" );
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document.write( "first step was to multiply by 2a giving....<BR>\n" );
document.write( "2as=2u(v-u)+(v-u)^2\r<BR>\n" );
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document.write( "expanding<BR>\n" );
document.write( "2as= 2uv-2u^2+v^2-2vu+u^2\r<BR>\n" );
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document.write( "apparently by collecting terms this is equal to 2as=v^2-u^2, could someone please explain this last step for me </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67888 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=67888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2as= 2uv-2u^2+v^2-2vu+u^2\r<BR>\n" );
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document.write( "apparantly by collecting terms this is equal to 2as=v^2-u^2, could someone please explain this last step for me<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "2uv-2u^2+v^2-2vu+u^2\r<BR>\n" );
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document.write( "=2u(v-u) + [v^2-2uv+u^2]\r<BR>\n" );
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document.write( "= 2u(v-u) + [v-u]^2\r<BR>\n" );
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document.write( "=(v-u)[2u + v-u]\r<BR>\n" );
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document.write( "= (v-u)(v+u)\r<BR>\n" );
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document.write( "= v^2-u^2\r<BR>\n" );
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document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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