document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300765>Question 300765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . Factor completely. Show work<BR>\n" );
document.write( "m^3 - 10m^2 + 25m  can some one show me the steps if im taking the group and adding first is that right<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 #215784 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=215784\">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=M%5E3+-+10M%5E2+%2B25M ALIGN=MIDDLE  ALT=\"M%5E3+-+10M%5E2+%2B25M\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First you can factor out an M<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M%2A%28M%5E2+-+10M+%2B+25%29 ALIGN=MIDDLE  ALT=\"M%2A%28M%5E2+-+10M+%2B+25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you need to factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M%5E2+-+10M+%2B+25 ALIGN=MIDDLE  ALT=\"M%5E2+-+10M+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This can be done by unfoiling the equation<BR>\n" );
document.write( "Find the factors of 25: 1,5,5,25<BR>\n" );
document.write( "After you find those factors you need to see what adds together to get -10<BR>\n" );
document.write( "-5 - 5 = -10<BR>\n" );
document.write( "Your equation now becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M+-+5%29%2A%28M+-+5%29 ALIGN=MIDDLE  ALT=\"M+-+5%29%2A%28M+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But that was just the part inside the parenthesis<BR>\n" );
document.write( "The complete factored equation is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28M%2A%28M-5%29%2A%28M-5%29%29 ALIGN=MIDDLE  ALT=\"highlight%28M%2A%28M-5%29%2A%28M-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "You can also solve for M by setting the equation to 0<BR>\n" );
document.write( "Then you can solve for each term.<BR>\n" );
document.write( "Since we started with an M^3, there will be 3 answers<BR>\n" );
document.write( "(The number of answers is determined by the highest exponent (in this problem it was 3))<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28M+=+0%29 ALIGN=MIDDLE  ALT=\"highlight%28M+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M+-+5+=+0 ALIGN=MIDDLE  ALT=\"M+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28M+=+5%29 ALIGN=MIDDLE  ALT=\"highlight_green%28M+=+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M+-+5+=+0 ALIGN=MIDDLE  ALT=\"M+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28M+=+5%29 ALIGN=MIDDLE  ALT=\"highlight%28M+=+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And yes you can have the same answer more than once\r<BR>\n" );
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