document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229881>Question 229881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the rational expression\r<BR>\n" );
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document.write( "4y^3-8y^2+7y-14/-y^2-5y+14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170333 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=170333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify the rational expression <BR>\n" );
document.write( "4y^3-8y^2+7y-14/-y^2-5y+14<BR>\n" );
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document.write( "Factor the numerator:<BR>\n" );
document.write( "4y^2(y-2) + 7(y-2)<BR>\n" );
document.write( "(4y^2+7)(y-2)<BR>\n" );
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document.write( "Factor the denominator:<BR>\n" );
document.write( "-(y^2+5y-15)<BR>\n" );
document.write( "-(y+7)(y-2)<BR>\n" );
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document.write( "Cancel the common factor of y-2:<BR>\n" );
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document.write( "Ans: -(4y^2+7)/(y+7)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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