document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167092>Question 167092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (It don't have in textbook but teacher gives me worksheet)\r<BR>\n" );
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document.write( "Can you help me solve this problem:\r<BR>\n" );
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document.write( "June factored the polynomial c^9-d^12 into (c^3+d^4)(c^6-c^3*d^4+d^8).\r<BR>\n" );
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document.write( "Is she correct? How do u know?\r<BR>\n" );
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document.write( "MANY THANKS </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123074 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=123074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> June is not correct!<BR>\n" );
document.write( "How do we know?<BR>\n" );
document.write( "One way to prove this is to multiply the two factors, using FOIL, to see if you arrive at the given polynomial.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E3%2Bd%5E4%29%28c%5E6-c%5E3%2Ad%5E4%2Bd%5E8%29+=+c%5E9-c%5E6%2Ad%5E4%2Bc%5E3%2Ad%5E8%2Bc%5E6%2Ad%5E4-c%5E3%2Ad%5E8%2Bd%5E12 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Simplifying.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E9%2Bd%5E12 ALIGN=MIDDLE  ALT=\"c%5E9%2Bd%5E12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is not the same as the given polynomial of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E9-d%5E12 ALIGN=MIDDLE  ALT=\"c%5E9-d%5E12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Another way is to recognize the given polynomial as the difference of two cubes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E9-d%5E12+=+%28c%5E3%29%5E3+-+%28d%5E4%29%5E3 ALIGN=MIDDLE  ALT=\"c%5E9-d%5E12+=+%28c%5E3%29%5E3+-+%28d%5E4%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the difference of two cubes is factored thus:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E3-B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29 ALIGN=MIDDLE  ALT=\"A%5E3-B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+c%5E3 ALIGN=MIDDLE  ALT=\"A+=+c%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+d%5E4 ALIGN=MIDDLE  ALT=\"B+=+d%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E3%29%5E3+-+%28d%5E4%29%5E3+=+%28c%5E3-d%5E4%29%28c%5E6%2Bc%5E3%2Ad%5E4%2Bd%5E8%29 ALIGN=MIDDLE  ALT=\"%28c%5E3%29%5E3+-+%28d%5E4%29%5E3+=+%28c%5E3-d%5E4%29%28c%5E6%2Bc%5E3%2Ad%5E4%2Bd%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is not what June got! </SPAN>\n" );
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