document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118302>Question 118302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you mutiply (4g+3h)(5g-3h) if it is a polynomial? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86410 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=86410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284g%2B3h%29%285g-3h%29 ALIGN=MIDDLE  ALT=\"%284g%2B3h%29%285g-3h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given 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%284g%29%2B3h%29%28highlight%285g%29-3h%29 ALIGN=MIDDLE  ALT=\"%28highlight%284g%29%2B3h%29%28highlight%285g%29-3h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the First terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284g%29%2A%285g%29=20g%5E2 ALIGN=MIDDLE  ALT=\"%284g%29%2A%285g%29=20g%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%284g%29%2B3h%29%285g%2Bhighlight%28-3h%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%284g%29%2B3h%29%285g%2Bhighlight%28-3h%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Outer terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284g%29%2A%28-3h%29=-12gh ALIGN=MIDDLE  ALT=\"%284g%29%2A%28-3h%29=-12gh\"   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=%284g%2Bhighlight%283h%29%29%28highlight%285g%29-3h%29 ALIGN=MIDDLE  ALT=\"%284g%2Bhighlight%283h%29%29%28highlight%285g%29-3h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Inner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283h%29%2A%285g%29=15hg ALIGN=MIDDLE  ALT=\"%283h%29%2A%285g%29=15hg\"   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=%284g%2Bhighlight%283h%29%29%285g%2Bhighlight%28-3h%29%29 ALIGN=MIDDLE  ALT=\"%284g%2Bhighlight%283h%29%29%285g%2Bhighlight%28-3h%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Last terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283h%29%2A%28-3h%29=-9h%5E2 ALIGN=MIDDLE  ALT=\"%283h%29%2A%28-3h%29=-9h%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=20g%5E2-12gh%2B15hg-9h%5E2 ALIGN=MIDDLE  ALT=\"20g%5E2-12gh%2B15hg-9h%5E2\"   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=20g%5E2%2B3gh-9h%5E2 ALIGN=MIDDLE  ALT=\"20g%5E2%2B3gh-9h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284g%2B3h%29%285g-3h%29 ALIGN=MIDDLE  ALT=\"%284g%2B3h%29%285g-3h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > foils and simplifies to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20g%5E2%2B3gh-9h%5E2 ALIGN=MIDDLE  ALT=\"20g%5E2%2B3gh-9h%5E2\"   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=%284g%2B3h%29%285g-3h%29=20g%5E2%2B3gh-9h%5E2 ALIGN=MIDDLE  ALT=\"%284g%2B3h%29%285g-3h%29=20g%5E2%2B3gh-9h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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