document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155683>Question 155683</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780717131846/algebrahomeworkh>New  Concise Maths 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 2(x+1)^2+7(x+1)+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114706 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=114706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2(x+1)^2+7(x+1)+3<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "It's a quadratic with variable x+1.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Let x+1 = w and substitute to get:<BR>\n" );
document.write( "2w^2 + 7w + 3<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "2w^2 + 6w +w + 3\r<BR>\n" );
document.write( "\n" );
document.write( "2w(w + 3) + w + 3<BR>\n" );
document.write( "(w+3)(2w+1)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Substitute back to x's:<BR>\n" );
document.write( "(x+1+3)(2(x+1)+1)\r<BR>\n" );
document.write( "\n" );
document.write( "= (x+4)(2x+3)<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );