document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612938>Question 612938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor By Grouping\r<BR>\n" );
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document.write( "2x^2+6xy-5xy-15y^2\r<BR>\n" );
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document.write( "Please show and explain steps on how to factor this by grouping. Thanks so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385804 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=385804\">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=2x%5E2%2B6xy-5xy-15y%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2%2B6xy-5xy-15y%5E2\"   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=%282x%5E2%2B6xy%29%2B%28-5xy-15y%5E2%29 ALIGN=MIDDLE  ALT=\"%282x%5E2%2B6xy%29%2B%28-5xy-15y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group the terms in two pairs\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x%2B3y%29-5y%28x%2B3y%29 ALIGN=MIDDLE  ALT=\"2x%28x%2B3y%29-5y%28x%2B3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the first group. Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5y ALIGN=MIDDLE  ALT=\"-5y\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the second group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-5y%29%28x%2B3y%29 ALIGN=MIDDLE  ALT=\"%282x-5y%29%28x%2B3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since we have the common term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y ALIGN=MIDDLE  ALT=\"x%2B3y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can 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=2x%5E2%2B6xy-5xy-15y%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2%2B6xy-5xy-15y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-5y%29%28x%2B3y%29 ALIGN=MIDDLE  ALT=\"%282x-5y%29%28x%2B3y%29\"   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=2x%5E2%2B6xy-5xy-15y%5E2=%282x-5y%29%28x%2B3y%29 ALIGN=MIDDLE  ALT=\"2x%5E2%2B6xy-5xy-15y%5E2=%282x-5y%29%28x%2B3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for all values of x and y. </SPAN>\n" );
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