document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571111>Question 571111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor completely\r<BR>\n" );
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document.write( "7x^2-7x^2y-28x+28xy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367987 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=367987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can find common factors in groups of terms, and see what we end up with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2-7x%5E2y-28x%2B28xy=%287x%5E2-7x%5E2y%29%2B%28-28x%2B28xy%29=7x%5E2%281-y%29%2B28x%28-1%2By%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If both factors in brackets were exactly the same, we would be finding a common factor again. We can fix that, because<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%28-1%2By%29=%281-y%29 ALIGN=MIDDLE  ALT=\"%28-1%29%28-1%2By%29=%281-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2%281-y%29%2B28x%28-1%2By%29=7x%5E2%28-1%29%28-1%2By%29%2B28x%28-1%2By%29=%28%28-1%297x%5E2%2B28x%29%28-1%2By%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and we can write that in more elegant ways, and even factor out a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7 ALIGN=MIDDLE  ALT=\"-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-1%297x%5E2%2B28x%29%28-1%2By%29=%28-7x%5E2%2B28x%29%28y-1%29=-7%28x%5E2-4%29%28y-1%29 ALIGN=MIDDLE  ALT=\"%28%28-1%297x%5E2%2B28x%29%28-1%2By%29=%28-7x%5E2%2B28x%29%28y-1%29=-7%28x%5E2-4%29%28y-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4=%28x%2B2%29%28x-2%29 ALIGN=MIDDLE  ALT=\"x%5E2-4=%28x%2B2%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it can be factored too, to get to the full factorization.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%28x%5E2-4%29%28y-1%29=-7%28x%2B2%29%28x-2%29%28y-1%29 ALIGN=MIDDLE  ALT=\"-7%28x%5E2-4%29%28y-1%29=-7%28x%2B2%29%28x-2%29%28y-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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