document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=3328>Question 3328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify:\r<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 #1455 by </B><A HREF=/tutors/aboutme.mpl?userid=ichudov><B>ichudov(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichudov><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=ichudov><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's your cartoon:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Acartoon%28+%0D%0A++%28%28X%5E2%2B3x-10%29%2F%286X%5E2-24%29%29+%2F+%28%28X%5E2%2BX-20%29%2F%28X%5E2%2B3X%2B2%29%29+%2F+%28%28x%5E2-1%29%2F6%29%2C%0D%0A++%28%28X%5E2%2B3x-10%29%2F%286X%5E2-24%29%29+%2F+%28%28X%5E2%2BX-20%29%2Fhighlight%28%28X%5E2%2B3X%2B2%29%29%29+%2F+%28%28x%5E2-1%29%2Fhighlight%286%29%29%2C%0D%0A++6%2A%28x%5E2%2B3x-10%29%2A%28x%5E2%2B3x%2B2%29%2F%286x%5E2-24%29%2F%28x%5E2%2Bx-20%29%2F%28x%5E2-1%29%2C%0D%0A++6%2Ahighlight%28%28x%5E2%2B3x-10%29%29%2A%28x%5E2%2B3x%2B2%29%2F%286x%5E2-24%29%2F%28x%5E2%2Bx-20%29%2F%28x%5E2-1%29%2C%0D%0A++6%2Ahighlight%28%28x-2%29%28x%2B5%29%29%2A%28x%5E2%2B3x%2B2%29%2F%286x%5E2-24%29%2F%28x%5E2%2Bx-20%29%2F%28x%5E2-1%29%2C%0D%0A++6%2A%28x-2%29%28x%2B5%29%2Ahighlight%28%28x%5E2%2B3x%2B2%29%29%2F%286x%5E2-24%29%2F%28x%5E2%2Bx-20%29%2F%28x%5E2-1%29%2C%0D%0A++6%2A%28x-2%29%28x%2B5%29%2Ahighlight%28%28x%2B1%29%2A%28x%2B2%29%29%2F%286x%5E2-24%29%2F%28x%5E2%2Bx-20%29%2F%28x%5E2-1%29%2C%0D%0A++6%2A%28x-2%29%28x%2B5%29%2A%28x%2B1%29%28x%2B2%29%2Fhighlight%28%286x%5E2-24%29%29%2F%28x%5E2%2Bx-20%29%2F%28x%5E2-1%29%2C%0D%0A++6%2A%28x-2%29%28x%2B5%29%2A%28x%2B1%29%28x%2B2%29+%2F+highlight%286%2A%28x-2%29%2A%28x%2B2%29%29%2F%28x%5E2%2Bx-20%29%2F%28x%5E2-1%29%2C%0D%0A++6%2A%28x-2%29%28x%2B5%29%2A%28x%2B1%29%28x%2B2%29+%2F+6%2F%28x-2%29%2F%28x%2B2%29%2Fhighlight%28%28x%5E2%2Bx-20%29%29%2F%28x%5E2-1%29%2C%0D%0A++6%2A%28x-2%29%28x%2B5%29%2A%28x%2B1%29%28x%2B2%29+%2F+6%2F%28x-2%29%2F%28x%2B2%29%2Fhighlight%28%28x-4%29%2A%28x%2B5%29%29%2F%28x%5E2-1%29%2C%0D%0A++6%2A%28x-2%29%28x%2B5%29%2A%28x%2B1%29%28x%2B2%29+%2F+6%2F%28x-2%29%2F%28x%2B2%29%2F%28x-4%29%2F%28x%2B5%29%2Fhighlight%28%28x%5E2-1%29%29%2C%0D%0A++6%2A%28x-2%29%28x%2B5%29%2A%28x%2B1%29%28x%2B2%29+%2F+6%2F%28x-2%29%2F%28x%2B2%29%2F%28x-4%29%2F%28x%2B5%29%2Fhighlight%28%28x-1%29%2A%28x%2B1%29%29%2C%0D%0A++6%2A%28x-2%29%28x%2B5%29%2A%28x%2B1%29%28x%2B2%29+%2F+6%2F%28x-2%29%2F%28x%2B2%29%2F%28x-4%29%2F%28x%2B5%29%2F%28x-1%29%2F%28x%2B1%29%2C%0D%0A++highlight%286%29%2Ahighlight%28%28x-2%29%29%2Ahighlight%28%28x%2B5%29%29%2Ahighlight%28%28x%2B1%29%29%2Ahighlight%28%28x%2B2%29%29+%2F+highlight%286%29%2Fhighlight%28%28x-2%29%29%2Fhighlight%28%28x%2B2%29%29%2F%28x-4%29%2Fhighlight%28%28x%2B5%29%29%2F%28x-1%29%2Fhighlight%28%28x%2B1%29%29%2C%0D%0A++cross%286%29%2Across%28%28x-2%29%29%2Across%28%28x%2B5%29%29%2Across%28%28x%2B1%29%29%2Across%28%28x%2B2%29%29+%2F+cross%286%29%2Fcross%28%28x-2%29%29%2Fcross%28%28x%2B2%29%29%2F%28x-4%29%2Fcross%28%28x%2B5%29%29%2F%28x-1%29%2Fcross%28%28x%2B1%29%29%2C%0D%0A++highlight%281%2F%28x-4%29%2F%28x-1%29%29%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And here's your full solution.\r<BR>\n" );
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document.write( "First, move things around:\r<BR>\n" );
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document.write( "Second, factorize every piece in that formula using <A  rel=nofollow HREF=/algebra/homework/quadratic/>Quadratic Equation Solver</A>.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1x%5E2%2B3x-10+=+%28x-2%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"+1x%5E2%2B3x-10+=+%28x-2%29%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6X%5E2-24+=++6%28x-2%29%28x%2B2%29+ ALIGN=MIDDLE  ALT=\"+6X%5E2-24+=++6%28x-2%29%28x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+X%5E2%2BX-20+=++%28x-4%29%28x%2B5%29+ ALIGN=MIDDLE  ALT=\"+X%5E2%2BX-20+=++%28x-4%29%28x%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+X%5E2%2B3X%2B2+=++%28x%2B1%29%28x%2B2%29+ ALIGN=MIDDLE  ALT=\"+X%5E2%2B3X%2B2+=++%28x%2B1%29%28x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2-1+=+%28x-1%29%2A%28x%2B1%29++++ ALIGN=MIDDLE  ALT=\"+x%5E2-1+=+%28x-1%29%2A%28x%2B1%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=+%28%28X%5E2%2B3x-10%29%2F%286X%5E2-24%29%29%2F%28%28X%5E2%2BX-20%29%2F%28X%5E2%2B3X%2B2%29%29%2F%28%28x%5E2-1%29%2F6%29%0D%0A=%0D%0A6%2A%28x%5E2%2B3x-10%29%2A%28x%5E2%2B3x%2B2%29%2F%286x%5E2-24%29%2F%28x%5E2%2Bx-20%29%2F%28x%5E2-1%29%0D%0A=%0D%0A6%2A%28x-2%29%28x%2B5%29%2A%28x%2B1%29%28x%2B2%29+%2F+6%2F%28x-2%29%2F%28x%2B2%29%2F%28x-4%29%2F%28x%2B5%29%2F%28x-1%29%2F%28x%2B1%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, similar terms cancel out:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A6%2A%28x-2%29%28x%2B5%29%2A%28x%2B1%29%28x%2B2%29+%2F+6%2F%28x-2%29%2F%28x%2B2%29%2F%28x-4%29%2F%28x%2B5%29%2F%28x-1%29%2F%28x%2B1%29%0D%0A=%0D%0Across%286%29%2Across%28%28x-2%29%29%2Across%28%28x%2B5%29%29%2Across%28%28x%2B1%29%29%2Across%28%28x%2B2%29%29+%2F+cross%286%29%2Fcross%28%28x-2%29%29%2Fcross%28%28x%2B2%29%29%2F%28x-4%29%2Fcross%28%28x%2B5%29%29%2F%28x-1%29%2Fcross%28%28x%2B1%29%29%0D%0A=+1%2F%28x-4%29%2F%28x-1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, your answer is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28X%5E2%2B3x-10%29%2F%286X%5E2-24%29%29+%2F+%28%28X%5E2%2BX-20%29%2F%28X%5E2%2B3X%2B2%29%29+%2F+%28%28x%5E2-1%29%2F6%29+=+1%2F%28x-4%29%2F%28x-1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Double check my solution, maybe I got something wrong.\r<BR>\n" );
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document.write( "Also, note that for every thing that canceled out, there is a point where the  </SPAN>\n" );
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