document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203063>Question 203063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (15ab/4)(8/9a^2b^2)= ?\r<BR>\n" );
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document.write( "(6a/8b)/(10c/12d)= ?\r<BR>\n" );
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document.write( "(2x^2+x-3/9)[(x+1)^2/2x^2+5x+3)= ?\r<BR>\n" );
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document.write( "(1/25-y^2)/(6-3y/y^2-7y+10)= ?\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153220 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=153220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815ab%2F4%29 ALIGN=MIDDLE  ALT=\"%2815ab%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F9a%5E2b%5E2%29 ALIGN=MIDDLE  ALT=\"%288%2F9a%5E2b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I won't know how to put this in nice fractions for you, so I'll explain, as best as I can, what I'm doing............\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815ab%2F4%29 ALIGN=MIDDLE  ALT=\"%2815ab%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F9a%5E2b%5E2%29 ALIGN=MIDDLE  ALT=\"%288%2F9a%5E2b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The 15 and the 9 can each be reduced when divided by 3.  They become 5 and 3.<BR>\n" );
document.write( "The 4 and the 8 can each be reduced when divided by 4. They become 1 and 2<BR>\n" );
document.write( "The ab in the numerator can be canceled, but that changes the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2 ALIGN=MIDDLE  ALT=\"b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the denominator to:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab ALIGN=MIDDLE  ALT=\"ab\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "SO when we reduce and cancel, we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%2A%282%29 ALIGN=MIDDLE  ALT=\"%285%29%2A%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%29%2A%283%29ab ALIGN=MIDDLE  ALT=\"%281%29%2A%283%29ab\"   DISABLED_style= \"max-width:90%; height:auto;\" >  .........OR.........\r<BR>\n" );
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document.write( "NEXT QUESTION:\r<BR>\n" );
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document.write( "The above is how I am reading your question.  If I am correct, then we would do that problem the way we would do any division problem when we work with fractions.  In other words, when you divide with a fraction, you MULTIPLY by the reciprocal.  So your problem is now........\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286a%2F8b%29 ALIGN=MIDDLE  ALT=\"%286a%2F8b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812d%2F10c%29 ALIGN=MIDDLE  ALT=\"%2812d%2F10c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The 6 and the 10 can be reduced when divided by 2. They become 3 and 5.<BR>\n" );
document.write( "The 12 and the 8 can be reduced when divided by 4. They become 3 and 2.\r<BR>\n" );
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document.write( "Your problem is now............\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a%2F2b%29 ALIGN=MIDDLE  ALT=\"%283a%2F2b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283d%2F5c%29 ALIGN=MIDDLE  ALT=\"%283d%2F5c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is:\r<BR>\n" );
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document.write( "NEXT QUESTION:  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+x+-+3 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x+%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+5x+%2B+3 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+5x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If I have written your problem correctly, then it can be factored like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%2B+3%29%28x-1%29%28x+%2B+1%29%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"%282x+%2B+3%29%28x-1%29%28x+%2B+1%29%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%29%282x+%2B+3%29%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"%289%29%282x+%2B+3%29%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the (2x + 3) in the numerator can be canceled with the (2x+3) in the denominator.<BR>\n" );
document.write( "The (x + 1) in the numerator can be canceled with the (x + 1) in the denominator.\r<BR>\n" );
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document.write( "That leaves you with:\r<BR>\n" );
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document.write( "I am sorry to say that your last problem I don't think I'm seeing correctly.  Can you repost it, please?   It's this part of the problem I'm not sure about: \r<BR>\n" );
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document.write( "(1/25-y^2)\r<BR>\n" );
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document.write( "I am not sure you have written it correctly.  The second part is easily factored.  The (6 - 3y) can be factored to 3(2 - y) and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-7y%2B10 ALIGN=MIDDLE  ALT=\"y%5E2-7y%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be easily factored to (y-5)(y-2).   I just am not certain your first part of the problem is written correctly.\r<BR>\n" );
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document.write( "I hope this helps ....... </SPAN>\n" );
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