document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=803196>Question 803196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> evalute the equation (p^3-8y^3) if-: <BR>\n" );
document.write( "p-4y=2 & py=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #484177 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=484177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I do not like that problem. I think there is a typo.<BR>\n" );
document.write( "I will solve the problem as typed, and the problem that was probably meant.<BR>\n" );
document.write( " <BR>\n" );
document.write( "AS TYPED:<BR>\n" );
document.write( "The problem as presented requires a lot of tedious work to get to 2 different ugly answers:<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-4y=2 ALIGN=MIDDLE  ALT=\"p-4y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=py=8 ALIGN=MIDDLE  ALT=\"py=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8%2Fp ALIGN=MIDDLE  ALT=\"y=8%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-4%288%2Fp%29=2 ALIGN=MIDDLE  ALT=\"p-4%288%2Fp%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-32=2p ALIGN=MIDDLE  ALT=\"p%5E2-32=2p\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-2p-32=0 ALIGN=MIDDLE  ALT=\"p%5E2-2p-32=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=1+%2B-+sqrt%2833%29 ALIGN=MIDDLE  ALT=\"p=1+%2B-+sqrt%2833%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "That's ugly, but it gets worse:<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=1%2Bsqrt%2833%29 ALIGN=MIDDLE  ALT=\"p=1%2Bsqrt%2833%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bsqrt%2833%29-4y=2 ALIGN=MIDDLE  ALT=\"1%2Bsqrt%2833%29-4y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=-1%2Bsqrt%2833%29 ALIGN=MIDDLE  ALT=\"4y=-1%2Bsqrt%2833%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28sqrt%2833%29-1%29%2F4 ALIGN=MIDDLE  ALT=\"y=%28sqrt%2833%29-1%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That gets us to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28p%5E3=36sqrt%2833%29%2B100%2Cy%5E3=%2836sqrt%2833%29-100%29%2F64%29 ALIGN=MIDDLE  ALT=\"system%28p%5E3=36sqrt%2833%29%2B100%2Cy%5E3=%2836sqrt%2833%29-100%29%2F64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E3-8y%5E3=31.5sqrt%2833%29%2B112.5=about293.45 ALIGN=MIDDLE  ALT=\"p%5E3-8y%5E3=31.5sqrt%2833%29%2B112.5=about293.45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "The other solution,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=1-sqrt%2833%29 ALIGN=MIDDLE  ALT=\"p=1-sqrt%2833%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-sqrt%2833%29-4y=2 ALIGN=MIDDLE  ALT=\"1-sqrt%2833%29-4y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=-1-sqrt%2833%29 ALIGN=MIDDLE  ALT=\"4y=-1-sqrt%2833%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%28sqrt%2833%29%2B1%29%2F4 ALIGN=MIDDLE  ALT=\"y=-%28sqrt%2833%29%2B1%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That gets us to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28p%5E3=100-36sqrt%2833%29%2Cy%5E3=-%2836sqrt%2833%29%2B100%29%2F64%29 ALIGN=MIDDLE  ALT=\"system%28p%5E3=100-36sqrt%2833%29%2Cy%5E3=-%2836sqrt%2833%29%2B100%29%2F64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E3-8y%5E3=112.5-31.5sqrt%2833%29=about ALIGN=MIDDLE  ALT=\"p%5E3-8y%5E3=112.5-31.5sqrt%2833%29=about\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-68.45 ALIGN=MIDDLE  ALT=\"-68.45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "THE PROBLEM AS IT SHOULD BE:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-2y=4 ALIGN=MIDDLE  ALT=\"p-2y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=py=8 ALIGN=MIDDLE  ALT=\"py=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > allows for some clever maneuvering.<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E3-8y%5E3=p%5E3-%282y%29%5E3 ALIGN=MIDDLE  ALT=\"p%5E3-8y%5E3=p%5E3-%282y%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "we could use some of those special products that the textbook represents as<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;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B-+b%29%5E2=a%5E2+%2B-+2ab%2Bb%5E2 ALIGN=MIDDLE  ALT=\"%28a+%2B-+b%29%5E2=a%5E2+%2B-+2ab%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B-+b%29%5E3=a%5E3+%2B-+3a%5E2b+%2B3ab%5E2+%2B-+b%5E3 ALIGN=MIDDLE  ALT=\"%28a+%2B-+b%29%5E3=a%5E3+%2B-+3a%5E2b+%2B3ab%5E2+%2B-+b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "One way:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E3-8y%5E3=p%5E3-%282y%29%5E3 ALIGN=MIDDLE  ALT=\"p%5E3-8y%5E3=p%5E3-%282y%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-2y%29%28p%5E2%2Bp%282y%29%2B%282y%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28p-2y%29%28p%5E2%2Bp%282y%29%2B%282y%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28p%5E2%2Bp%282y%29%2B%282y%29%5E2%29 ALIGN=MIDDLE  ALT=\"4%28p%5E2%2Bp%282y%29%2B%282y%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28p%5E2-2%2Ap%282y%29%2B%282y%29%5E2%2B3p%282y%29%29 ALIGN=MIDDLE  ALT=\"4%28p%5E2-2%2Ap%282y%29%2B%282y%29%5E2%2B3p%282y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28%28p-2y%29%5E2%2B3p%282y%29%29 ALIGN=MIDDLE  ALT=\"4%28%28p-2y%29%5E2%2B3p%282y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%284%5E2%2B3p%282y%29%29 ALIGN=MIDDLE  ALT=\"4%284%5E2%2B3p%282y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%284%5E2%2B6py%29%29 ALIGN=MIDDLE  ALT=\"4%284%5E2%2B6py%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%284%5E2%2B6%2A8%29%29=highlight%28256%29 ALIGN=MIDDLE  ALT=\"4%284%5E2%2B6%2A8%29%29=highlight%28256%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "Another way to calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E3-8y%5E3=p%5E3-%282y%29%5E3 ALIGN=MIDDLE  ALT=\"p%5E3-8y%5E3=p%5E3-%282y%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-2y%29%5E3=p%5E3-3%2Ap%5E2%282y%29%2B3%2Ap%2A%282y%29%5E2-%282y%29%5E3 ALIGN=MIDDLE  ALT=\"%28p-2y%29%5E3=p%5E3-3%2Ap%5E2%282y%29%2B3%2Ap%2A%282y%29%5E2-%282y%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E3=p%5E3-3%2Ap%5E2%282y%29%2B3%2Ap%2A%282y%29%5E2-8y%5E3 ALIGN=MIDDLE  ALT=\"4%5E3=p%5E3-3%2Ap%5E2%282y%29%2B3%2Ap%2A%282y%29%5E2-8y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64=p%5E3-8y%5E3-3%2Ap%5E2%282y%29%2B3%2Ap%2A%282y%29%5E2 ALIGN=MIDDLE  ALT=\"64=p%5E3-8y%5E3-3%2Ap%5E2%282y%29%2B3%2Ap%2A%282y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64=p%5E3-8y%5E3-3%2Ap%282y%29%28p-2y%29 ALIGN=MIDDLE  ALT=\"64=p%5E3-8y%5E3-3%2Ap%282y%29%28p-2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64=p%5E3-8y%5E3-6%28py%29%28p-2y%29 ALIGN=MIDDLE  ALT=\"64=p%5E3-8y%5E3-6%28py%29%28p-2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64=p%5E3-8y%5E3-6%2A8%2A4 ALIGN=MIDDLE  ALT=\"64=p%5E3-8y%5E3-6%2A8%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%2B6%2A8%2A4=p%5E3-8y%5E3 ALIGN=MIDDLE  ALT=\"64%2B6%2A8%2A4=p%5E3-8y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E3-8y%5E3=highlight%28256%29 ALIGN=MIDDLE  ALT=\"p%5E3-8y%5E3=highlight%28256%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );