document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402777>Question 402777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to divide and check. Could someone please help me? \r<BR>\n" );
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document.write( "Divide and check showing work. \r<BR>\n" );
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document.write( "(4x^4-4x^2-3)/(2x^2-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284897 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E4-4x%5E2-3%29%2F%282x%5E2-3%29 ALIGN=MIDDLE  ALT=\"%284x%5E4-4x%5E2-3%29%2F%282x%5E2-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "first factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E4-4x%5E2-3%29 ALIGN=MIDDLE  ALT=\"%284x%5E4-4x%5E2-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%5E2 ALIGN=MIDDLE  ALT=\"-4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-6x%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2-6x%5E2\"   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=4x%5E4+%2B+2x%5E2+-+6x%5E2+-3 ALIGN=MIDDLE  ALT=\"4x%5E4+%2B+2x%5E2+-+6x%5E2+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Group the first two terms together and the last two terms together like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E4+%2B+2x%5E2%29+%2B+%28-6x%5E2-3%29 ALIGN=MIDDLE  ALT=\"%284x%5E4+%2B+2x%5E2%29+%2B+%28-6x%5E2-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the first group and factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the second group.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%282x%5E2+%2B+1%29+%2B+%28-3%29%282x%5E2+%2B+1%29 ALIGN=MIDDLE  ALT=\"2x%5E2%282x%5E2+%2B+1%29+%2B+%28-3%29%282x%5E2+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now since we have a common term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2+%2B+1%29 ALIGN=MIDDLE  ALT=\"%282x%5E2+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can combine the two terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2+-3%29%282x%5E2+%2B+1%29 ALIGN=MIDDLE  ALT=\"%282x%5E2+-3%29%282x%5E2+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, now your expression will look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2+-3%29%282x%5E2+%2B+1%29%2F%282x%5E2-3%29 ALIGN=MIDDLE  ALT=\"%282x%5E2+-3%29%282x%5E2+%2B+1%29%2F%282x%5E2-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now, reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28%282x%5E2+-3%29%29%282x%5E2+%2B+1%29%2Fcross%28%282x%5E2-3%29%29 ALIGN=MIDDLE  ALT=\"cross%28%282x%5E2+-3%29%29%282x%5E2+%2B+1%29%2Fcross%28%282x%5E2-3%29%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=%282x%5E2+%2B+1%29 ALIGN=MIDDLE  ALT=\"%282x%5E2+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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