document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22954>Question 22954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help! (2 x the square root of 3x - the square root of 5)(2 x the square root of 3x + the square root of 5)= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11415 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11415\">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=%282x+%2Asqrt%283x%29+-+sqrt%285%29+%29%2A%282x%2A+sqrt%283x%29+%2B+sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%282x+%2Asqrt%283x%29+-+sqrt%285%29+%29%2A%282x%2A+sqrt%283x%29+%2B+sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is a simple F OI L problem.  I say simple because it will be a LOT easier than it looks!!\r<BR>\n" );
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document.write( "First:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2Asqrt%283x%29%2A2x+%2Asqrt%283x%29+=+4x%5E2%2A+3x ALIGN=MIDDLE  ALT=\"2x+%2Asqrt%283x%29%2A2x+%2Asqrt%283x%29+=+4x%5E2%2A+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Outer:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2Asqrt%283x%29+%2A+sqrt%285%29+=+2x%2A+sqrt%2815x%29 ALIGN=MIDDLE  ALT=\"2x+%2Asqrt%283x%29+%2A+sqrt%285%29+=+2x%2A+sqrt%2815x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Inner:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2Asqrt%283x%29+%2A+%28-sqrt%285%29%29+=+-2x+%2Asqrt%2815x%29 ALIGN=MIDDLE  ALT=\"2x+%2Asqrt%283x%29+%2A+%28-sqrt%285%29%29+=+-2x+%2Asqrt%2815x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Inner times inner and outer times outer actually subtract out.\r<BR>\n" );
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document.write( "Last:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%285%29%2A+sqrt%285%29+=+-5 ALIGN=MIDDLE  ALT=\"-sqrt%285%29%2A+sqrt%285%29+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Final answer:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E3+-+5 ALIGN=MIDDLE  ALT=\"12x%5E3+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Many or all of these steps can be done in your head when you get some practice at these types of problems.\r<BR>\n" );
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document.write( "See my lesson plans on Radicals from Basic Algebra for more practice on these.\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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