document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152379>Question 152379</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495389730/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am working on this problem and I just need to know if I did it right.<BR>\n" );
document.write( "I'm suppose to simplify each expression an if an expression can't be simplified, write \"does not simplify.<BR>\n" );
document.write( "The problem is 2x^2+2x-12 over x^3+3x^2-4x-12<BR>\n" );
document.write( "This is what I did<BR>\n" );
document.write( "Factored to 2(x^2+x-6)<BR>\n" );
document.write( "Factored to 2(x^2+3x-2x-6)<BR>\n" );
document.write( "Factored to 2(x(x+3)-2(x+3))<BR>\n" );
document.write( "Factored to 2(x+3)(x-2) also common denominator<BR>\n" );
document.write( "2x(x-2)+2*3(x-2)<BR>\n" );
document.write( "Simplified to 2x(x-2)+6(x-2)<BR>\n" );
document.write( "Factored to 2(x-2)(x+3)<BR>\n" );
document.write( "Second part denominator : <BR>\n" );
document.write( "Factored to x^2(x+3)-4(x+3)<BR>\n" );
document.write( "Factored to (x+3)(x^2-4)<BR>\n" );
document.write( "Factored to (x+3)(x+2)(x-2) also common denominator<BR>\n" );
document.write( "Expanded x(x+2)(x-2)+3(x+2)(x-2) also simplified<BR>\n" );
document.write( "Factored to (x+2)(x-2)(x+3) also simplified<BR>\n" );
document.write( "Now the answer I got was 2x(x-2)+6(x-2) over (x-2)(x+3)(x+2). Was this problem done correctly and is it simplified?<BR>\n" );
document.write( "Thanks for anyone who can check this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112005 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=112005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To answer your questions...NO! and NO!  Let's look at the problem:<BR>\n" );
document.write( "Simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2%2B2x-12%29%2F%28x%5E3%2B3x%5E2-4x-12%29 ALIGN=MIDDLE  ALT=\"%282x%5E2%2B2x-12%29%2F%28x%5E3%2B3x%5E2-4x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's do the numerator first: Factor the trinomial:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B2x-12+=+2%28x%5E2%2Bx-6%29 ALIGN=MIDDLE  ALT=\"2x%5E2%2B2x-12+=+2%28x%5E2%2Bx-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%28x%2B3%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"highlight%282%28x%2B3%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Your work in this step was ok!<BR>\n" );
document.write( "Now the denominator: Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B3x%5E2-4x-12+=+%28x%5E2-4%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"x%5E3%2B3x%5E2-4x-12+=+%28x%5E2-4%29%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2B2%29%28x-2%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B2%29%28x-2%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > You correct here as well!<BR>\n" );
document.write( "Now we'll put 'em together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x%2B3%29%28x-2%29%29%2F%28%28x%2B2%29%28x-2%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%282%28x%2B3%29%28x-2%29%29%2F%28%28x%2B2%29%28x-2%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > At this point, can you see the cancellation possibilities?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28cross%28%28x%2B3%29%29cross%28%28x-2%29%29%29%29%2F%28%28x%2B2%29cross%28%28x-2%29%29cross%28%28x%2B3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%2F%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"highlight%282%2F%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );