document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411545>Question 411545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to solve:\r<BR>\n" );
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document.write( "12c to power of 2 divided by 3c+6\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "4x to power of 3 divided by 28x to power of 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289267 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^3 / 28x^4 would be a straight reduction.\r<BR>\n" );
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document.write( "divide numerator and denominator by 4 to get:\r<BR>\n" );
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document.write( "x^3 / 7x^4\r<BR>\n" );
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document.write( "since x^4 is the same as x^1*x^4, you can rewrite this expression as\r<BR>\n" );
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document.write( "x^3 / (7*x*x^3)\r<BR>\n" );
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document.write( "The x^3 cancels out in numerator and denominator to leave you with:\r<BR>\n" );
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document.write( "1/(7x)\r<BR>\n" );
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document.write( "you can also look at 4x^3 / 28x^4 in the following way.\r<BR>\n" );
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document.write( "4x^3 / 28x^4 is the same as (4/28) * (x^3)/(x^4)\r<BR>\n" );
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document.write( "x^3 / x^4 = x^(3-4) = x^(-1) = 1/x\r<BR>\n" );
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document.write( "you wind up with (4/28) * (1/x)\r<BR>\n" );
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document.write( "(4/28) is the same as (1/7) so you wind up with:\r<BR>\n" );
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document.write( "(1/7) * (1/x) which is the same as 1/(7x)\r<BR>\n" );
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document.write( "-----------------------------------\r<BR>\n" );
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document.write( "The result of dividing 12c^2 by (3c+6) results in (4c-8) with a remainder of 48.\r<BR>\n" );
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document.write( "This means that (3c+6) * (4c-8) + 48 will result in 12c^2\r<BR>\n" );
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document.write( "(3c+6) * (4c-8) equals 12c^2 -24c + 24c - 48\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "(3c+6) * (4c-8) equals 12c^2 - 48\r<BR>\n" );
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document.write( "Add 48 to get a result of 12c^2\r<BR>\n" );
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document.write( "You're back to the original expression so the division was good.\r<BR>\n" );
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document.write( "Showing you how to do the division is difficult.\r<BR>\n" );
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document.write( "If you don't already know how to do it, the following reference would be helpful for you.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/polydiv.htm\" target = \"_blank\">algebra long division</a>\r<BR>\n" );
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document.write( "The first page shows you how to use factoring to divide.\r<BR>\n" );
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document.write( "The second page shows you how to do the long division.\r<BR>\n" );
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document.write( "The third page adds to that.\r<BR>\n" );
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document.write( "If you check algebra.com lessons, you might be able to find something about long division for algebra in there as well.\r<BR>\n" );
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document.write( "This was just easier for me to find.\r<BR>\n" );
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document.write( "It's fairly clear.\r<BR>\n" );
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document.write( "If you have problems with it, let me know and I'll do what I can do help you.\r<BR>\n" );
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document.write( "One other thing.\r<BR>\n" );
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document.write( "The answer of \r<BR>\n" );
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document.write( "(4c-8) with a remainder of 48 can also be shown as:\r<BR>\n" );
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document.write( "(4c-8 + 48/(3c+6)\r<BR>\n" );
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document.write( "You would check this result by multiplying (4c-8 + 48/(3c+6)) * (3c + 6).\r<BR>\n" );
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document.write( "The result will be 12c^2.\r<BR>\n" );
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document.write( "The long division is not terribly difficult.\r<BR>\n" );
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document.write( "Showing you how to do it here is long and time consuming.\r<BR>\n" );
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document.write( "The reference shows you the steps that you would take if you do not already know how to do them.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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