document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165860>Question 165860</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry Structure and Method book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been struggling on this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r<BR>\n" );
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document.write( "Factoring Polynomials<BR>\n" );
document.write( "Factor each polynomial<BR>\n" );
document.write( "(p+q)^3-(p-q)^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122257 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=122257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2Bq%29%5E3-%28p-q%29%5E3 ALIGN=MIDDLE  ALT=\"%28p%2Bq%29%5E3-%28p-q%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is a \"difference of cubes\" and can be 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: A = (p+q) and B = (p-q), so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2Bq%29%5E3-%28p-q%29%5E3+=+%28%28p%2Bq%29-%28p-q%29%29%28%28p%2Bq%29%5E2%2B%28p%2Bq%29%28p-q%29%2B%28p-q%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Simplifying this we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2Bq%29%5E3-%28p-q%29%5E3+=+%28p%2Bq-p%2Bq%29%28%28p%5E2%2B2pq%2Bq%5E2%29%2B%28p%5E2-q%5E2%29%2B%28p%5E2-2pq%2Bq%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combining like-terms, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2Bq%29%5E3-%28p-q%29%5E3+=+highlight%282q%283p%5E2%2Bq%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28p%2Bq%29%5E3-%28p-q%29%5E3+=+highlight%282q%283p%5E2%2Bq%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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