document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202349>Question 202349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify:\r<BR>\n" );
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document.write( "5b^2           *(4b^2-3b) <BR>\n" );
document.write( " ---------<BR>\n" );
document.write( " 40b^3-30b^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152598 by </B><A HREF=/tutors/aboutme.mpl?userid=PRMath><B>PRMath(133)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PRMath><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=152598\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think this is your problem:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%5E2%284b%5E2-3b%29 ALIGN=MIDDLE  ALT=\"5b%5E2%284b%5E2-3b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40b%5E3-30b%5E2 ALIGN=MIDDLE  ALT=\"40b%5E3-30b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There's probably a way to make that fraction look better but I've tried a few times and I haven't mastered it.  Clearly, I need a tutor for how to make math problems look good on this website.  \r<BR>\n" );
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document.write( "Anyway, if the above is your problem, here is what you do.....\r<BR>\n" );
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document.write( "Let's first focus on your denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40b%5E3-30b%5E2 ALIGN=MIDDLE  ALT=\"40b%5E3-30b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   Is there a number or variable (or both) that is common to both?   How about 10b?  Do you see how 10b is in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40b%5E3 ALIGN=MIDDLE  ALT=\"40b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > as well as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30b%5E2 ALIGN=MIDDLE  ALT=\"30b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "SO let's factor out that 10b......\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40b%5E3-30b%5E2 ALIGN=MIDDLE  ALT=\"40b%5E3-30b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10b%284b%5E2+-+3b%29 ALIGN=MIDDLE  ALT=\"10b%284b%5E2+-+3b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So now your new problem (with the revised denominator is)....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%5E2%284b%5E2-3b%29 ALIGN=MIDDLE  ALT=\"5b%5E2%284b%5E2-3b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10b%284b%5E2+-+3b%29 ALIGN=MIDDLE  ALT=\"10b%284b%5E2+-+3b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now can you see that the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b%5E2-3b%29 ALIGN=MIDDLE  ALT=\"4b%5E2-3b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the numerator will factor out the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b%5E2-3b%29 ALIGN=MIDDLE  ALT=\"4b%5E2-3b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the denominator??\r<BR>\n" );
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document.write( "SO, now you have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b%5E2%2F10b ALIGN=MIDDLE  ALT=\"5b%5E2%2F10b\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this can be reduced to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1b%5E2%2F2b ALIGN=MIDDLE  ALT=\"1b%5E2%2F2b\"   DISABLED_style= \"max-width:90%; height:auto;\" > and (you are STILL not done!) this can be reduced to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1b%2F2 ALIGN=MIDDLE  ALT=\"1b%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope this helps you. :-) </SPAN>\n" );
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