document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184873>Question 184873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.   Simplify {(c+3)^2} / (c^2 -9)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.  Simplify (x^2+7x+12)/(x^2-9)\r<BR>\n" );
document.write( "\n" );
document.write( "3.  Simplify (6y^5)/(24y^3)\r<BR>\n" );
document.write( "\n" );
document.write( "4. Multiply and simplify (4a^2/b) * (3b/8a)\r<BR>\n" );
document.write( "\n" );
document.write( "5. Multiply and simplify (r^2)/(r^2-9) * (r^2 +6r +9)/ (r^2 +3r)\r<BR>\n" );
document.write( "\n" );
document.write( "6. {(a^2-1)/(a+1)} * {(2a + 4) / (a^2 +4)/ (a^2 + 5a +6)}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thanks for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138720 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=138720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Simplify {(c+3)^2} / (c^2 -9) <BR>\n" );
document.write( "= (c+3)^2/[(c-3)(c+3)]<BR>\n" );
document.write( "Cancel the common factor of c+3 to get:<BR>\n" );
document.write( "=(x+3)/(c-3)<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "2. Simplify (x^2+7x+12)/(x^2-9)<BR>\n" );
document.write( "= [(x+3)(x+4)] / [(x-3)(x+3)]<BR>\n" );
document.write( "= (x+4)/(x-3)<BR>\n" );
document.write( "-------------------------------------- <BR>\n" );
document.write( "3. Simplify (6y^5)/(24y^3) <BR>\n" );
document.write( "= y^2/4<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "4. Multiply and simplify (4a^2/b) * (3b/8a) <BR>\n" );
document.write( "Calcel common factors: 4, a, b to get<BR>\n" );
document.write( "= (a/1)*(3/2) <BR>\n" );
document.write( "= (3a/2)<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "5. Multiply and simplify [(r^2)/(r^2-9)] * [(r^2 +6r +9)/ (r^2 +3r)]\r<BR>\n" );
document.write( "\n" );
document.write( "= [(r^2)/(r-3)(r+3)] * [(r+3)(r+3)/ r(r+3)]\r<BR>\n" );
document.write( "\n" );
document.write( "Cancel common factors: r,(r+3) to get:\r<BR>\n" );
document.write( "\n" );
document.write( "= [r/(r-3)] / [1/1]\r<BR>\n" );
document.write( "\n" );
document.write( "= r/(r-3)<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( " <BR>\n" );
document.write( "6. {(a^2-1)/(a+1)} * {(2a + 4) / (a^2 +4)/ (a^2 + 5a +6)} \r<BR>\n" );
document.write( "\n" );
document.write( "= [(a-1)/1] * [2(a+2) / (a^2+4)/(a+3)(a+2)]\r<BR>\n" );
document.write( "\n" );
document.write( "= [(a-1)/1] * [2 / (a^2+4)/(a+3)]\r<BR>\n" );
document.write( "\n" );
document.write( "= [2(a-1) / (a^2+4)(a+3)]\r<BR>\n" );
document.write( "\n" );
document.write( "=====================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );