document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77945>Question 77945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor:\r<BR>\n" );
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document.write( "36X^4Y+33X^3Y^2-15X^2Y^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55844 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=55844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x%5E4y%2B33y%5E2-15x%5E2y%5E3 ALIGN=MIDDLE  ALT=\"36x%5E4y%2B33y%5E2-15x%5E2y%5E3\"   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=x%5E2y%2836x%5E2%2B33xy-15y%5E2%29 ALIGN=MIDDLE  ALT=\"x%5E2y%2836x%5E2%2B33xy-15y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2y ALIGN=MIDDLE  ALT=\"x%5E2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we want to factor the quadratic in the parenthesis. If we ignore the y terms we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x%5E2%2B33x-15 ALIGN=MIDDLE  ALT=\"36x%5E2%2B33x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Which is a quadratic, so lets factor it:\r<BR>\n" );
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document.write( "ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.\n" );
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document.write( " <TR><TD >Error occurred executing solver 'quadratic_factoring' .</TD></TR>\n" );
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document.write( "So if we reintroduce the y terms we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x-3y%29%284x%2B5y%29 ALIGN=MIDDLE  ALT=\"%289x-3y%29%284x%2B5y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now if we include the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2y ALIGN=MIDDLE  ALT=\"x%5E2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > term we get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2y%289x-3y%29%284x%2B5y%29 ALIGN=MIDDLE  ALT=\"x%5E2y%289x-3y%29%284x%2B5y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As always, we can multiply and foil <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2y%289x-3y%29%284x%2B5y%29 ALIGN=MIDDLE  ALT=\"x%5E2y%289x-3y%29%284x%2B5y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x%5E4y%2B33y%5E2-15x%5E2y%5E3 ALIGN=MIDDLE  ALT=\"36x%5E4y%2B33y%5E2-15x%5E2y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > again </SPAN>\n" );
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