document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189972>Question 189972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor <BR>\n" );
document.write( "27f^3+64<BR>\n" );
document.write( "2x^3+6x^2+x+3<BR>\n" );
document.write( "8m^3-125<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142690 by </B><A HREF=/tutors/aboutme.mpl?userid=cutepiscean5><B>cutepiscean5(19)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cutepiscean5><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=142690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factor \r<BR>\n" );
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document.write( "1.) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+27f%5E3%2B64+ ALIGN=MIDDLE  ALT=\"+27f%5E3%2B64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283f%29%5E3+%2B+%284%29%5E3+ ALIGN=MIDDLE  ALT=\"+%283f%29%5E3+%2B+%284%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(we will use the formula for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%28a%5E2+-+ab+%2B+b%5E2%29+ ALIGN=MIDDLE  ALT=\"+a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%28a%5E2+-+ab+%2B+b%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )\r<BR>\n" );
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document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283f+%2B+4%29%28%283f%29%5E2+-+%283f%29%2A%284%29+%2B+%284%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+%283f+%2B+4%29%28%283f%29%5E2+-+%283f%29%2A%284%29+%2B+%284%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=+highlight%28%283f+%2B+4%29%289f%5E2+-+12f+%2B+16%29%29+ ALIGN=MIDDLE  ALT=\"+highlight%28%283f+%2B+4%29%289f%5E2+-+12f+%2B+16%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E3%2B6x%5E2%2Bx%2B3+ ALIGN=MIDDLE  ALT=\"+2x%5E3%2B6x%5E2%2Bx%2B3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (now, we group the first two terms and the last two terms, and take out the common factors from each of them) \r<BR>\n" );
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document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2%2A%28x%2B3%29+%2B+1%2A%28x%2B3%29+ ALIGN=MIDDLE  ALT=\"+2x%5E2%2A%28x%2B3%29+%2B+1%2A%28x%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28%28x%2B3%29%282x%5E2+%2B+1%29%29+ ALIGN=MIDDLE  ALT=\"+highlight%28%28x%2B3%29%282x%5E2+%2B+1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3.)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8m%5E3-125+ ALIGN=MIDDLE  ALT=\"+8m%5E3-125+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (this can be expressed as perfect cubes of 2m and 5)<BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282m%29%5E3+-+%285%29%5E3+ ALIGN=MIDDLE  ALT=\"+%282m%29%5E3+-+%285%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=+%282m+-+5%29%28%282m%29%5E2+%2B+%282m%29%2A%285%29+%2B+%285%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+%282m+-+5%29%28%282m%29%5E2+%2B+%282m%29%2A%285%29+%2B+%285%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(we have used the formula for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E3+-+b%5E3+=+%28a+-+b%29%28a%5E2+%2B+ab+%2B+b%5E2%29+ ALIGN=MIDDLE  ALT=\"+a%5E3+-+b%5E3+=+%28a+-+b%29%28a%5E2+%2B+ab+%2B+b%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=+highlight%28%282m+-+5%29%284m%5E2+-+10m+%2B+25%29%29+ ALIGN=MIDDLE  ALT=\"+highlight%28%282m+-+5%29%284m%5E2+-+10m+%2B+25%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope this helps you. </SPAN>\n" );
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