document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221507>Question 221507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to factor each trinomial\r<BR>\n" );
document.write( "\n" );
document.write( "3x^3 y^2 - 3x^2y^2 + 3xy^2\r<BR>\n" );
document.write( "\n" );
document.write( "Can someone please help me understand this equation.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166129 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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/cgi-bin/show-face.mpl?user=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=166129\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have to factor each trinomial\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E3y%5E2-3x%5E2y%5E2%2B3xy%5E2 ALIGN=MIDDLE  ALT=\"3x%5E3y%5E2-3x%5E2y%5E2%2B3xy%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Can someone please help me understand this equation.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 1.  Find a factor common to all three terms.  Start with a number 3 since it's common to all three terms and we factor 3 out.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E3y%5E2-3x%5E2y%5E2%2B3xy%5E2=3%28x%5E3y%5E2-3x%5E2y%5E2%2Bxy%5E2%29 ALIGN=MIDDLE  ALT=\"3x%5E3y%5E2-3x%5E2y%5E2%2B3xy%5E2=3%28x%5E3y%5E2-3x%5E2y%5E2%2Bxy%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Step 2.  Now look at the x-terms with the highest exponent in x that is common to all three terms.  In this case, it's simply x and we factor x out.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E3y%5E2-3x%5E2y%5E2%2Bxy%5E2%29=3x%28x%5E2y%5E2-3xy%5E2%2By%5E2%29 ALIGN=MIDDLE  ALT=\"3%28x%5E3y%5E2-3x%5E2y%5E2%2Bxy%5E2%29=3x%28x%5E2y%5E2-3xy%5E2%2By%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 3.  Now look at the y-terms and we observe that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is common to all three terms and we factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > out.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%28x%5E2y%5E2-3xy%5E2%2By%5E2%29=3xy%5E2%28x%5E2-3x%2B1%29 ALIGN=MIDDLE  ALT=\"3x%28x%5E2y%5E2-3xy%5E2%2By%5E2%29=3xy%5E2%28x%5E2-3x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 4.  ANSWER:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E3y%5E2-3x%5E2y%5E2%2B3xy%5E2=3xy%5E2%28x%5E2-3x%2B1%29 ALIGN=MIDDLE  ALT=\"3x%5E3y%5E2-3x%5E2y%5E2%2B3xy%5E2=3xy%5E2%28x%5E2-3x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I hope the above steps were helpful.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Good luck in your studies!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );