document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111454>Question 111454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the polynomial 35x^6 y^6 + 28x^3 y^4 - 7x^5 y^3, if possible. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81439 by </B><A HREF=/tutors/aboutme.mpl?userid=elima><B>elima(1433)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima><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=81439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor the polynomial 35x^6 y^6 + 28x^3 y^4 - 7x^5 y^3, if possible.<BR>\n" );
document.write( "When factoring it is sometimes easier to see if you write everything out;<BR>\n" );
document.write( "Lets start by writing each term out;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35x%5E6y%5E6 ALIGN=MIDDLE  ALT=\"35x%5E6y%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 35(x*x*x*x*x*x)(y*y*y*y*y*y)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28x%5E3+y%5E4 ALIGN=MIDDLE  ALT=\"28x%5E3+y%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 28(x*x*x)(y*y*y*y)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E5+y%5E3 ALIGN=MIDDLE  ALT=\"7x%5E5+y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=7(x*x*x*x*x)(y*y*y)<BR>\n" );
document.write( "Now lets cross out all commons;<BR>\n" );
document.write( "Now each term has at least 3 x's and 3 y's;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35x%5E6y%5E6=35%28cross%28x%29%2Across%28x%29%2Across%28x%29%2Ax%2Ax%2Ax%29%28cross%28y%29%2Across%28y%29%2Across%28y%29%2Ay%2Ay%2Ay%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28x%5E3y%5E4=+28%28cross%28x%29%2Across%28x%29%2Across%28x%29%29%28cross%28y%29%2Across%28y%29%2Across%28y%29%2Ay%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E5y%5E3=7%28cross%28x%29%2Across%28x%29%2Across%28x%29%2Ax%2Ax%29%28cross%28y%29%2Across%28y%29%2Across%28y%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so we are left with;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35x%5E3y%5E3 ALIGN=MIDDLE  ALT=\"35x%5E3y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28y ALIGN=MIDDLE  ALT=\"28y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2 ALIGN=MIDDLE  ALT=\"7x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we need to find the GCF between 7,28,35; which is 7;<BR>\n" );
document.write( "so we are going to factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E3y%5E3 ALIGN=MIDDLE  ALT=\"7x%5E3y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E3y%5E3%285x%5E3y%5E3%2B4y-x%5E2%29 ALIGN=MIDDLE  ALT=\"7x%5E3y%5E3%285x%5E3y%5E3%2B4y-x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );