document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221399>Question 221399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x to the 2nd power - 5x -6xy plus 15y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166080 by </B><A HREF=/tutors/aboutme.mpl?userid=likaaka><B>likaaka(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=likaaka><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=166080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x^2 - 5x - 6xy + 15y<BR>\n" );
document.write( "First we group terms, this can be tricky since at times the terms that should be grouped to simplify are not already given close by<BR>\n" );
document.write( "So to group just add parentheses<BR>\n" );
document.write( "(2x^2 - 5x)+(- 6xy + 15y), now factor each parenthesis<BR>\n" );
document.write( "((2x^2 - 5x)/(x))+((- 6xy + 15y)/(-3y), simplify<BR>\n" );
document.write( "x(2x - 5)-3y(2x - 5) now we have similar factors (2x-5)<BR>\n" );
document.write( "I think the best way to see this is to rename 2x-5, lets call it C for now and the result looks like this xC - 3yC<BR>\n" );
document.write( "Now we factor out the C<BR>\n" );
document.write( "(xC)/C + (-3yC)/C<BR>\n" );
document.write( "C(x-3y)<BR>\n" );
document.write( "Replace C with its original value 2x-5<BR>\n" );
document.write( "(2x-5)(x-3y) is your answer </SPAN>\n" );
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