document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201757>Question 201757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "I need some help with a couple of problems that are giving me a hard time. Any and all help will be appreciated. They are:\r<BR>\n" );
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document.write( "1.  Divide:  x^2 - 9x +8/2x - 4  /  x^2 - 1/2x + 2\r<BR>\n" );
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document.write( "2.  Perform the indicated operations:  4sqrt[50] + sqrt[32] - sqrt[18]\r<BR>\n" );
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document.write( "Again, any and all help will be appreciated.\r<BR>\n" );
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document.write( "Thank you in advance for your help.<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 #151997 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=151997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-9x%2B8%29%2F%282x-4%29%29%2F%28%28x%5E2-1%29%2F%282x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-9x%2B8%29%2F%282x-4%29%29%2F%28%28x%5E2-1%29%2F%282x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-9x%2B8%29%2F%282x-4%29%29%28%282x%2B2%29%2F%28x%5E2-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-9x%2B8%29%2F%282x-4%29%29%28%282x%2B2%29%2F%28x%5E2-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-9x%2B8%29%2F%282x-4%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-9x%2B8%29%2F%282x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the reciprocal of the second fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-1%29%2F%282x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-1%29%2F%282x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x-1%29%2A%28x-8%29%29%2F%282x-4%29%29%28%282x%2B2%29%2F%28x%5E2-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-1%29%2A%28x-8%29%29%2F%282x-4%29%29%28%282x%2B2%29%2F%28x%5E2-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9x%2B8 ALIGN=MIDDLE  ALT=\"x%5E2-9x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2A%28x-8%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%2A%28x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x-1%29%2A%28x-8%29%29%2F%282%28x-2%29%29%29%28%282x%2B2%29%2F%28x%5E2-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-1%29%2A%28x-8%29%29%2F%282%28x-2%29%29%29%28%282x%2B2%29%2F%28x%5E2-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-4 ALIGN=MIDDLE  ALT=\"2x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-2%29 ALIGN=MIDDLE  ALT=\"2%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x-1%29%2A%28x-8%29%29%2F%282%28x-2%29%29%29%28%282%28x%2B1%29%29%2F%28x%5E2-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-1%29%2A%28x-8%29%29%2F%282%28x-2%29%29%29%28%282%28x%2B1%29%29%2F%28x%5E2-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2 ALIGN=MIDDLE  ALT=\"2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%2B1%29 ALIGN=MIDDLE  ALT=\"2%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x-1%29%28x-8%29%29%2F%282%28x-2%29%29%29%28%282%28x%2B1%29%29%2F%28%28x-1%29%2A%28x%2B1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-1 ALIGN=MIDDLE  ALT=\"x%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2A%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%2A%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x-1%29%28x-8%29%28x%2B1%29%29%2F%282%28x-2%29%28x-1%29%2A%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%282%28x-1%29%28x-8%29%28x%2B1%29%29%2F%282%28x-2%29%28x-1%29%2A%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%282%29highlight%28%28x-1%29%29%28x-8%29highlight%28%28x%2B1%29%29%29%2F%28highlight%282%29%28x-2%29highlight%28%28x-1%29%29highlight%28%28x%2B1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%282%29cross%28%28x-1%29%29%28x-8%29cross%28%28x%2B1%29%29%29%2F%28cross%282%29%28x-2%29cross%28%28x-1%29%29cross%28%28x%2B1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-8%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-8%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-9x%2B8%29%2F%282x-4%29%29%2F%28%28x%5E2-1%29%2F%282x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-9x%2B8%29%2F%282x-4%29%29%2F%28%28x%5E2-1%29%2F%282x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-8%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-8%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-9x%2B8%29%2F%282x-4%29%29%2F%28%28x%5E2-1%29%2F%282x%2B2%29%29=%28x-8%29%2F%28x-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%2850%29%2Bsqrt%2832%29-sqrt%2818%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%2850%29%2Bsqrt%2832%29-sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A5%2Asqrt%282%29%2Bsqrt%2832%29-sqrt%2818%29 ALIGN=MIDDLE  ALT=\"4%2A5%2Asqrt%282%29%2Bsqrt%2832%29-sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2850%29 ALIGN=MIDDLE  ALT=\"sqrt%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note: If you need help with simplifying square roots, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A5%2Asqrt%282%29%2B4%2Asqrt%282%29-sqrt%2818%29 ALIGN=MIDDLE  ALT=\"4%2A5%2Asqrt%282%29%2B4%2Asqrt%282%29-sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2832%29 ALIGN=MIDDLE  ALT=\"sqrt%2832%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A5%2Asqrt%282%29%2B4%2Asqrt%282%29-3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"4%2A5%2Asqrt%282%29%2B4%2Asqrt%282%29-3%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2818%29 ALIGN=MIDDLE  ALT=\"sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"3%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Asqrt%282%29%2B4%2Asqrt%282%29-3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"20%2Asqrt%282%29%2B4%2Asqrt%282%29-3%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 4 and 5 to get 20.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820%2B4-3%29sqrt%282%29 ALIGN=MIDDLE  ALT=\"%2820%2B4-3%29sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"21%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%2850%29%2Bsqrt%2832%29-sqrt%2818%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%2850%29%2Bsqrt%2832%29-sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"21%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "In other words,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%2850%29%2Bsqrt%2832%29-sqrt%2818%29=21%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%2850%29%2Bsqrt%2832%29-sqrt%2818%29=21%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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