document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108540>Question 1108540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can some one explain to me in the simplest form what it means to simplify and how to simplify with an add of the following question. l am seriously looking for a tutor for l dont want given answers but a teacher/ tutor to guide me.\r<BR>\n" );
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document.write( "question 1\r<BR>\n" );
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document.write( "Simplify the following expression as far as possible:<BR>\n" );
document.write( "2y<BR>\n" );
document.write( "2<BR>\n" );
document.write( "(x &#8722; 1) &#8722; 8x\r<BR>\n" );
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document.write( "y<BR>\n" );
document.write( "2 + 1<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 #723523 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=723523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2y  is already in simplest form <BR>\n" );
document.write( "2    is already in simplest form<BR>\n" );
document.write( "(x-1)-8x  can be simplified by combining the \"x\" with the \"-8x\"  to get -7x.  The result is -7x-1.  This is called \"combining like-terms.\"   <BR>\n" );
document.write( "y   is already in simplest form<BR>\n" );
document.write( "2+1 can be simplified to  3  by adding the two numbers<BR>\n" );
document.write( "覧覧覧覧覧覧覧覧覧覧覧覧覧覧予r<BR>\n" );
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document.write( "Simplification just means manipulating the expression to get it to its simplest form.\r<BR>\n" );
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document.write( "Do note that any higher-power terms in x  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E3+ ALIGN=MIDDLE  ALT=\"+x%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, etc.  are simplified separately from the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=x%5E1 ALIGN=MIDDLE  ALT=\"x=x%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  constant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E0+ ALIGN=MIDDLE  ALT=\"+x%5E0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms.   \r<BR>\n" );
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document.write( "For example <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E3+%2B+2x%5E2+%2B+x+%2B+7%29+-+%28x%5E3+%2B+x%5E2+%2B+x+%2B+5%29+ ALIGN=MIDDLE  ALT=\"+%283x%5E3+%2B+2x%5E2+%2B+x+%2B+7%29+-+%28x%5E3+%2B+x%5E2+%2B+x+%2B+5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  simplifies (step by step) as follows:<BR>\n" );
document.write( " = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E3+%2B2x%5E2++%2B+x+%2B+7%29+-+x%5E3+-+x%5E2+-+x+-+5+ ALIGN=MIDDLE  ALT=\"+%283x%5E3+%2B2x%5E2++%2B+x+%2B+7%29+-+x%5E3+-+x%5E2+-+x+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   <<< changed sign of 2nd paren's contents (multiplied the contents of the 2nd paren's by -1 and removed the parens. )\r<BR>\n" );
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document.write( "=  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283-1%29x%5E3+%2B+%282-1%29x%5E2+%2B+%281-1%29x+%2B+%287-5%29+ ALIGN=MIDDLE  ALT=\"+%283-1%29x%5E3+%2B+%282-1%29x%5E2+%2B+%281-1%29x+%2B+%287-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   <<< just to show you how the coefficients add together. Normally you will do this math in your head, usually starting with the highest power of x and working your way down.<BR>\n" );
document.write( "=  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++2x%5E3+%2B+x%5E2+%2B+2+ ALIGN=MIDDLE  ALT=\"++2x%5E3+%2B+x%5E2+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >        <<< notice there is no <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E1+ ALIGN=MIDDLE  ALT=\"+x%5E1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > because we ended up with 0*x\r<BR>\n" );
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