document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230117>Question 230117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor each polynomial completely.<BR>\n" );
document.write( "x^3 y+2x^2 y^2+x y^3\r<BR>\n" );
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document.write( "I am completely stuck on this question. I have read and re-read the chapter in my book and I am still stumped. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170451 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=170451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3y%2B2x%5E2y%5E2%2Bxy%5E3 ALIGN=MIDDLE  ALT=\"x%5E3y%2B2x%5E2y%5E2%2Bxy%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can see there are three terms separated by 2 plus signs.<BR>\n" );
document.write( "Looking at those three terms, you can see that each of them includes some power of x and some power of y.<BR>\n" );
document.write( "First thing you want to do is factor out and common terms in each of those two variables.<BR>\n" );
document.write( "The first term has x^3, then second has x^2 and the last one has just x.<BR>\n" );
document.write( "So you can factor out an x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2A%28x%5E2y%2B2xy%5E2%2By%5E3%29 ALIGN=MIDDLE  ALT=\"x+%2A%28x%5E2y%2B2xy%5E2%2By%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now do the same thing for y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy+%2A%28x%5E2+%2B+2xy+%2B+y%5E2%29 ALIGN=MIDDLE  ALT=\"xy+%2A%28x%5E2+%2B+2xy+%2B+y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you need to see if the polynomial on the right can be factored further.<BR>\n" );
document.write( "It can. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy+%2A+%28x%2By%29%28x%2By%29 ALIGN=MIDDLE  ALT=\"xy+%2A+%28x%2By%29%28x%2By%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%28x%2By%29%5E2 ALIGN=MIDDLE  ALT=\"xy%28x%2By%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There are some good URLs you cna use to check your factoring <BR>\n" );
document.write( "http://72.3.253.76:8080/webMathematica3/quickmath/page.jsp?s1=algebra&s2=factor&s3=basic\r<BR>\n" );
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document.write( "http://www.wolframalpha.com/input/?i=x^3+y%2B2x^2+y^2%2Bxy^3\r<BR>\n" );
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document.write( "Hope this helps!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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