document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165051>Question 165051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone help\r<BR>\n" );
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document.write( ".  Multiply:<BR>\n" );
document.write( "(sqrt[3] + 4sqrt[5])(2sqrt[3] – sqrt[5])\r<BR>\n" );
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document.write( "and <BR>\n" );
document.write( ".  Divide:<BR>\n" );
document.write( "  x2 – 3x + 2/8x - 8  ÷  x2 – 4/5x + 10\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121650 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28sqrt%283%29+%2B+4sqrt%285%29%29%282sqrt%283%29+%96+sqrt%285%29%29+ ALIGN=MIDDLE  ALT=\"+%28sqrt%283%29+%2B+4sqrt%285%29%29%282sqrt%283%29+%96+sqrt%285%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(sqrt[3] + 4sqrt[5])(2sqrt[3] – sqrt[5]) <BR>\n" );
document.write( "Applying FOIL:<BR>\n" );
document.write( "sqrt[3]2sqrt[3] - sqrt[3]sqrt[5] + 4sqrt[5]2sqrt[3] - 4sqrt[5]sqrt[5]<BR>\n" );
document.write( "2(3) - sqrt[15] + 8sqrt[15] - 4(5)<BR>\n" );
document.write( "6 - sqrt[15] + 8sqrt[15] - 20<BR>\n" );
document.write( "6 + 7sqrt[15] - 20<BR>\n" );
document.write( "7sqrt[15] - 14<BR>\n" );
document.write( "OR, you could factor:<BR>\n" );
document.write( "7(sqrt[15]-2)<BR>\n" );
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document.write( "Divide:<BR>\n" );
document.write( "[(x2 – 3x + 2)/(8x - 8)] ÷ [(x2 – 4)/(5x + 10)]<BR>\n" );
document.write( "Focusing on the first term in the [], we can factor:<BR>\n" );
document.write( "[(x-2)(x-1)/8(x-1)] ÷ [(x2 – 4)/(5x + 10)]<BR>\n" );
document.write( "Canceling like-terms:<BR>\n" );
document.write( "[(x-2)/8] ÷ [(x2 – 4)/(5x + 10)]<BR>\n" );
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document.write( "Now, focus on the second term in the [], we can factor:<BR>\n" );
document.write( "[(x-2)/8] ÷ [(x–2)(x+2)/5(x+2)]<BR>\n" );
document.write( "Canceling like-terms:<BR>\n" );
document.write( "[(x-2)/8] ÷ [(x–2)/5]<BR>\n" );
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document.write( "Now, we can change the divide to multiplication by flipping one of the terms:<BR>\n" );
document.write( "[(x-2)/8] * [5/(x–2)]<BR>\n" );
document.write( "Canceling like-terms:<BR>\n" );
document.write( "[1/8] * [5/1]<BR>\n" );
document.write( "Resulting in:<BR>\n" );
document.write( "5/8\r<BR>\n" );
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