document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202503>Question 202503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to simplify these problems. I thought that I did it right but was told that I was wrong. I really do not understand this at all. Thanks\r<BR>\n" );
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document.write( "a. 2x3+3x2 + 2x – 1 <BR>\n" );
document.write( "b. ax4 – bx2 <BR>\n" );
document.write( "c. 3a4 – 6a3 + 3a2 <BR>\n" );
document.write( "d. -4xyz <BR>\n" );
document.write( "e. 3ab – 7cd + 5ac <BR>\n" );
document.write( "f. 12x – 10x + 3 <BR>\n" );
document.write( "g. 3q2 – 4r2 + 6s2 – t2 <BR>\n" );
document.write( "h. –13x <BR>\n" );
document.write( "i. 3xy + 4xz – 6yz + 1 <BR>\n" );
document.write( "j. 4x2 – x + 2x <BR>\n" );
document.write( "k. x4 – x2y2 – x2y2 + y4 <BR>\n" );
document.write( "l. x3 – 3x +1 <BR>\n" );
document.write( "m. x – 7y2 +9x + 7y2 <BR>\n" );
document.write( "n. x + y <BR>\n" );
document.write( "o. 4c6 <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 #152960 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=152960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If expressions like 2x3 mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3 ALIGN=MIDDLE  ALT=\"2x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then all of these expressions are already simplified <b>except</b>: f, j, k and m. (Notice that I change all subtractions to additions. It helps avoid errors to do this.)<br><BR>\n" );
document.write( "f. 12x – 10x + 3 <BR>\n" );
document.write( "12x and -10x are like terms so we can add them:<BR>\n" );
document.write( "12x + (-10x) + 3 = 2x +3<br><BR>\n" );
document.write( "j. 4x2 – x + 2x <BR>\n" );
document.write( "-x and 2x are like terms so we can add them:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B+%28-x%29+%2B+2x+=+4x%5E2+%2B+x ALIGN=MIDDLE  ALT=\"4x%5E2+%2B+%28-x%29+%2B+2x+=+4x%5E2+%2B+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "k. x4 – x2y2 – x2y2 + y4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2y%5E2 ALIGN=MIDDLE  ALT=\"-x%5E2y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2y%5E2 ALIGN=MIDDLE  ALT=\"-x%5E2y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > are like terms so we can add them:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4+%2B+%28-x%5E2y%5E2%29+%2B+%28-x%5E2y%5E2%29+%2B+y%5E4+=+x%5E4+%2B+%28-2x%5E2y%5E2%29+%2B+y%5E4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "m. x – 7y2 +9x + 7y2 <BR>\n" );
document.write( "x and 9x are like terms so we can add them. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7y%5E2 ALIGN=MIDDLE  ALT=\"-7y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7y%5E2 ALIGN=MIDDLE  ALT=\"7y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > are also like terms which we can add (and cancel out since they are opposites):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+%28-7y%5E2%29+%2B+9x+%2B+7y%5E2+=+10x ALIGN=MIDDLE  ALT=\"x+%2B+%28-7y%5E2%29+%2B+9x+%2B+7y%5E2+=+10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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