document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102371>Question 102371</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor completely:<BR>\n" );
document.write( "3(2y+3)^2+23(2y+3)-8\r<BR>\n" );
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document.write( "I started by using the substitution method, let u = 2y+3<BR>\n" );
document.write( "3u^2+23u-8<BR>\n" );
document.write( "(3u+24)(u-1)<BR>\n" );
document.write( "{3(2y+3)+24}{(2y+3)-1}<BR>\n" );
document.write( "(6y+6+24)(2y-2)<BR>\n" );
document.write( "(6y+30)(2y-2)<BR>\n" );
document.write( "{6(y+5)}(2(y)}\r<BR>\n" );
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document.write( "Now I'm stuck.  Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74398 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=74398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given to factor completely:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%282y%2B3%29%5E2%2B23%282y%2B3%29-8 ALIGN=MIDDLE  ALT=\"3%282y%2B3%29%5E2%2B23%282y%2B3%29-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "You said:<BR>\n" );
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document.write( "I started by using the substitution method, let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u+=+2y%2B3 ALIGN=MIDDLE  ALT=\"u+=+2y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <===OK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3u%5E2%2B23u-8 ALIGN=MIDDLE  ALT=\"3u%5E2%2B23u-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > <=== OK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283u%2B24%29%28u-1%29 ALIGN=MIDDLE  ALT=\"%283u%2B24%29%28u-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <=== mistake. Notice that +24 times -1 does not equal -8. The factors are <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283u+-+1%29%28u+%2B+8%29 ALIGN=MIDDLE  ALT=\"%283u+-+1%29%28u+%2B+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ". continue from the point where you now have the factors of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283u-1%29%28u%2B8%29 ALIGN=MIDDLE  ALT=\"%283u-1%29%28u%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%282y%2B3%29-1%29%28%282y%2B3%29%2B8%29 ALIGN=MIDDLE  ALT=\"%283%282y%2B3%29-1%29%28%282y%2B3%29%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <=== in this line  2y + 3 is substituted for u in the factors<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286y%2B9-1%29%282y%2B3+%2B+8%29 ALIGN=MIDDLE  ALT=\"%286y%2B9-1%29%282y%2B3+%2B+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <=== in this line the 3 is multiplied times (2y+3)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286y%2B8%29%282y%2B11%29 ALIGN=MIDDLE  ALT=\"%286y%2B8%29%282y%2B11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <=== in this line the numbers in each set of parentheses are combined<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283y%2B4%29%282y%2B11%29 ALIGN=MIDDLE  ALT=\"2%283y%2B4%29%282y%2B11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <=== in this line the common factor of 2 is taken out of the first<BR>\n" );
document.write( "set of parentheses<BR>\n" );
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document.write( "That's the answer .... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283y%2B4%29%282y%2B11%29 ALIGN=MIDDLE  ALT=\"2%283y%2B4%29%282y%2B11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the complete factorization of the given<BR>\n" );
document.write( "problem.<BR>\n" );
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document.write( "Hope this helps to straighten things out for you.<BR>\n" );
document.write( ". </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );