document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155186>Question 1155186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Below is a floor plan for a combined living and dining area.  The owners of the home have recently adopted a puppy, so the living room needs to be re-carpeted (bad puppy).\r<BR>\n" );
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document.write( "The total area for both rooms is expressed as: 2x^2+x+3 square meters. The tile in the dining room was already replaced, so we know the area of that room is: 2x^2-2x square meters.\r<BR>\n" );
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document.write( "Known area of dining room: 2x^2-2x square meters.<BR>\n" );
document.write( "Area of combined dining and living room: 2x^2+x+3 square meters.\r<BR>\n" );
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document.write( "Find an expression for the area that needs to be re-carpeted.\r<BR>\n" );
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document.write( "After solving, choose the expressions that represent the length and width of the dining room, which can be found by completely factoring its area.\r<BR>\n" );
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document.write( "2x meters<BR>\n" );
document.write( "(x-1) meters<BR>\n" );
document.write( "(x+1) meters<BR>\n" );
document.write( "x meters<BR>\n" );
document.write( "(2x-2) meters<BR>\n" );
document.write( "2 meters </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777777 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=777777\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "The total area for both rooms is expressed as: \r<BR>\n" );
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document.write( "living and dining area\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bx%2B3 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bx%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > square meters. \r<BR>\n" );
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document.write( "The tile in the dining room was already replaced, so we know the area of that room is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-2x ALIGN=MIDDLE  ALT=\"2x%5E2-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > square meters.\r<BR>\n" );
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document.write( "Known area of dining room:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2-2x ALIGN=MIDDLE  ALT=\"+2x%5E2-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > square meters.\r<BR>\n" );
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document.write( "so, subtract the dining room from the total area of living and dining area\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bx%2B3-%282x%5E2-2x%29 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bx%2B3-%282x%5E2-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bx%2B3-2x%5E2%2B2x ALIGN=MIDDLE  ALT=\"2x%5E2%2Bx%2B3-2x%5E2%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B3 ALIGN=MIDDLE  ALT=\"3x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Area of combined dining and living room: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bx%2B3 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bx%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > square meters\r<BR>\n" );
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document.write( " the area that needs to be re-carpeted is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bx%2B3-%283x%2B3%29 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bx%2B3-%283x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bx%2B3-3x-3 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bx%2B3-3x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-2x ALIGN=MIDDLE  ALT=\"2x%5E2-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " the living room area that needs to be re-carpeted is :<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-2x ALIGN=MIDDLE  ALT=\"2x%5E2-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >........factor it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x-1%29 ALIGN=MIDDLE  ALT=\"2x%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the length of the dining room is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and width is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1 ALIGN=MIDDLE  ALT=\"x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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