document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170106>Question 170106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Someone should sue al-khwarizmi or the greeks for even iventing algebra! lol <BR>\n" );
document.write( "since i am probably the worst person in my algebra class, i guess i will be coming here more often lol<BR>\n" );
document.write( "if someone could help me with these three problems id be very thankful =)\r<BR>\n" );
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document.write( "(x+2)(x+3)= x^2+2x+3x+6= 11x^4 (or not?)<BR>\n" );
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document.write( "(2x-5)(3x+2) (my teacher olny wrote to that; \"you should use the foil system\")\r<BR>\n" );
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document.write( "(2x+5)(x^2-x-2) (I got that one totally wrong, but that was only because i didnt really understand it at all). <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 #125559 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=125559\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "You are on the right track, but combined the terms incorrectly. \r<BR>\n" );
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document.write( "Remember, you can only combine terms if they have the same variable AND the same exponent. So you CANNOT combine the terms <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;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Likewise, you CANNOT combine <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x ALIGN=MIDDLE  ALT=\"3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > (since they are not like terms).\r<BR>\n" );
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document.write( "This means that...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x%2B3%29=+x%5E2%2B2x%2B3x%2B6+=+x%5E2%2B5x%2B6 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x%2B3%29=+x%5E2%2B2x%2B3x%2B6+=+x%5E2%2B5x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x%2B3%29=x%5E2%2B5x%2B6 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x%2B3%29=x%5E2%2B5x%2B6\"   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=%282x-5%29%283x%2B2%29 ALIGN=MIDDLE  ALT=\"%282x-5%29%283x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "Now let's FOIL the expression.\r<BR>\n" );
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document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%282x%29-5%29%28highlight%283x%29%2B2%29 ALIGN=MIDDLE  ALT=\"%28highlight%282x%29-5%29%28highlight%283x%29%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">F</font>irst terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Ax%29%2A%283%2Ax%29=6x%5E2 ALIGN=MIDDLE  ALT=\"%282%2Ax%29%2A%283%2Ax%29=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=%28highlight%282x%29-5%29%283x%2Bhighlight%282%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%282x%29-5%29%283x%2Bhighlight%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">O</font>uter terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Ax%29%2A%282%29=4x ALIGN=MIDDLE  ALT=\"%282%2Ax%29%2A%282%29=4x\"   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%2Bhighlight%28-5%29%29%28highlight%283x%29%2B2%29 ALIGN=MIDDLE  ALT=\"%282x%2Bhighlight%28-5%29%29%28highlight%283x%29%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">I</font>nner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%2A%283%2Ax%29=-15x ALIGN=MIDDLE  ALT=\"%28-5%29%2A%283%2Ax%29=-15x\"   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%2Bhighlight%28-5%29%29%283x%2Bhighlight%282%29%29 ALIGN=MIDDLE  ALT=\"%282x%2Bhighlight%28-5%29%29%283x%2Bhighlight%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">L</font>ast terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%2A%282%29=-10 ALIGN=MIDDLE  ALT=\"%28-5%29%2A%282%29=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "---------------------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2%2B4x-15x-10 ALIGN=MIDDLE  ALT=\"6x%5E2%2B4x-15x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now collect every term to make a single expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2-11x-10 ALIGN=MIDDLE  ALT=\"6x%5E2-11x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now 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=%282x-5%29%283x%2B2%29 ALIGN=MIDDLE  ALT=\"%282x-5%29%283x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2-11x-10 ALIGN=MIDDLE  ALT=\"6x%5E2-11x-10\"   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=%282x-5%29%283x%2B2%29=6x%5E2-11x-10 ALIGN=MIDDLE  ALT=\"%282x-5%29%283x%2B2%29=6x%5E2-11x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "# 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B5%29%28x%5E2-x-2%29 ALIGN=MIDDLE  ALT=\"%282x%2B5%29%28x%5E2-x-2%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=2x%28x%5E2-x-2%29%2B5%28x%5E2-x-2%29 ALIGN=MIDDLE  ALT=\"2x%28x%5E2-x-2%29%2B5%28x%5E2-x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand. Remember, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%28c%2Bd%2Be%29=a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%28c%2Bd%2Be%29=a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%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%29%28x%5E2%29%2B%282x%29%28-x%29%2B%282x%29%28-2%29%2B%285%29%28x%5E2%29%2B%285%29%28-x%29%2B%285%29%28-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3-2x%5E2-4x%2B5x%5E2-5x-10 ALIGN=MIDDLE  ALT=\"2x%5E3-2x%5E2-4x%2B5x%5E2-5x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3%2B3x%5E2-9x-10 ALIGN=MIDDLE  ALT=\"2x%5E3%2B3x%5E2-9x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now 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=%282x%2B5%29%28x%5E2-x-2%29 ALIGN=MIDDLE  ALT=\"%282x%2B5%29%28x%5E2-x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > expands to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3%2B3x%5E2-9x-10 ALIGN=MIDDLE  ALT=\"2x%5E3%2B3x%5E2-9x-10\"   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=%282x%2B5%29%28x%5E2-x-2%29=2x%5E3%2B3x%5E2-9x-10 ALIGN=MIDDLE  ALT=\"%282x%2B5%29%28x%5E2-x-2%29=2x%5E3%2B3x%5E2-9x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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