document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44010>Question 44010</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Begining Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Factor the following trinomial completely.<BR>\n" );
document.write( "2a^3-52a^2b+96ab^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28942 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=28942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2a^3-52a^2b+96ab^2<BR>\n" );
document.write( "\"a\" is  present in each of the terms, so factorise:<BR>\n" );
document.write( "a(2a^2-52ab+96b^2)<BR>\n" );
document.write( "no inside the brackets you have a quadratic polynomial. Use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%28-B+%2B-+sqrt%28+B%5E2-4%2AA%2AC+%29%29%2F%282%2AA%29+ ALIGN=MIDDLE  ALT=\"a+=+%28-B+%2B-+sqrt%28+B%5E2-4%2AA%2AC+%29%29%2F%282%2AA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where<BR>\n" );
document.write( "A=2<BR>\n" );
document.write( "B=-52b<BR>\n" );
document.write( "C=96b^2<BR>\n" );
document.write( "this gives:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%2852b+%2B-+sqrt%28+2704b%5E2-768b%5E2+%29%29%2F4+ ALIGN=MIDDLE  ALT=\"a+=+%2852b+%2B-+sqrt%28+2704b%5E2-768b%5E2+%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%2852b+%2B-+sqrt%28+1936b%5E2+%29%29%2F4+ ALIGN=MIDDLE  ALT=\"a+=+%2852b+%2B-+sqrt%28+1936b%5E2+%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%2852b+%2B-+44b%29%2F4+ ALIGN=MIDDLE  ALT=\"a+=+%2852b+%2B-+44b%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2 ALIGN=MIDDLE  ALT=\"b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=24 ALIGN=MIDDLE  ALT=\"b=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "I hope this helps.\r<BR>\n" );
document.write( "\n" );
document.write( "P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would send me your feedback on my help to adam.chapman@student.manchester.ac.uk<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );