document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173649>Question 173649</A>: <I><SPAN STYLE=\"word-break: break-all;\">   490x^2 - 640       28x^2 - 95x +72<BR>\n" );
document.write( "_________________ . ___________________ = ? <BR>\n" );
document.write( "49x^2 - 112x + 64   56x^3 - 62x^2 - 144\r<BR>\n" );
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document.write( "I do not know how to start this problem. Thank you for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128576 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=128576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 490x^2 - 640          28x^2 - 95x +72<BR>\n" );
document.write( "_________________ . ___________________ = ? <BR>\n" );
document.write( "49x^2 - 112x + 64   56x^3 - 62x^2 - 144 <BR>\n" );
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document.write( "Eliminate anything you can.  There's a factor of 2 in the 1st NUM and the 2nd DEN, and a factor of 5 in the 1st NUM.<BR>\n" );
document.write( "   5*(49x^2 - 64)       28x^2 - 95x +72<BR>\n" );
document.write( "_________________ . ___________________ <BR>\n" );
document.write( "49x^2 - 112x + 64    28x^3 - 31x^2 - 72 <BR>\n" );
document.write( "A slight improvement.  The (49x^2-64) in the 1st NUM can be factored.<BR>\n" );
document.write( "   5*(7x-8)*(7x+8)       28x^2 - 95x +72<BR>\n" );
document.write( "_________________ . ___________________ <BR>\n" );
document.write( "49x^2 - 112x + 64    28x^3 - 31x^2 - 72 <BR>\n" );
document.write( "Ooooh, the 1st DEN can be factored too.<BR>\n" );
document.write( "   5*(7x-8)*(7x+8)      28x^2 - 95x +72<BR>\n" );
document.write( "_________________ . ___________________ <BR>\n" );
document.write( "   (7x - 8)^2         28x^3 - 31x^2 - 72 <BR>\n" );
document.write( "Check to see if the 2 remaining trinomials are divisible by any of the 3 binomials.  It's common in classroom and textbook problems to present problems like that.<BR>\n" );
document.write( "Surprise, surprise!!! (not really) 28x^2 - 95x +72 = (7x-8)*(4x-9)<BR>\n" );
document.write( "  5*(7x-8)*(7x+8)       (7x-8)*(4x-9)<BR>\n" );
document.write( "_________________ . ___________________ <BR>\n" );
document.write( "   (7x - 8)^2         28x^3 - 31x^2 - 72<BR>\n" );
document.write( "So the (7x-8) cancels.<BR>\n" );
document.write( "   5*(7x-8)*(7x+8)          (4x-9)<BR>\n" );
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document.write( "   (7x - 8)         28x^3 - 31x^2 - 72<BR>\n" );
document.write( "Then the other one cancels.<BR>\n" );
document.write( "   5*(7x+8)          (4x-9)<BR>\n" );
document.write( "_________________ . ___________________ <BR>\n" );
document.write( "       1             28x^3 - 31x^2 - 72\r<BR>\n" );
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document.write( "   5*(7x+8)(4x-9)<BR>\n" );
document.write( "___________________<BR>\n" );
document.write( " 28x^3 - 31x^2 - 72<BR>\n" );
document.write( "It's looking better.\r<BR>\n" );
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document.write( "     5*(28x^2 - 31x - 72)<BR>\n" );
document.write( " =   ___________________<BR>\n" );
document.write( "     28x^3 - 31x^2 - 72\r<BR>\n" );
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document.write( "It's possible you made a typo, and the trinomials should cancel??\r<BR>\n" );
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document.write( " </SPAN>\n" );
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