document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949773>Question 949773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite the rational expression as an equivalent expression rational expression whose denominator is the given polynomial.\r<BR>\n" );
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document.write( "4y-3          ?<BR>\n" );
document.write( "-------- = --------<BR>\n" );
document.write( "15x^2-30   30x^2-60 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579869 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=579869\">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=%284y-3%29+%2F%2815x%5E2-30%29=n%2F%2830x%5E2-60%29 ALIGN=MIDDLE  ALT=\"%284y-3%29+%2F%2815x%5E2-30%29=n%2F%2830x%5E2-60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >... if you look closely at denominators you see that coefficient and constant of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830x%5E2-60%29 ALIGN=MIDDLE  ALT=\"%2830x%5E2-60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is two times greater then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815x%5E2-30%29 ALIGN=MIDDLE  ALT=\"%2815x%5E2-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; so, to have left side of equation same as right side, all you need is two multiply numerator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284y-3%29 ALIGN=MIDDLE  ALT=\"%284y-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you will get a numerator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > which will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%284y-3%29=8y-6 ALIGN=MIDDLE  ALT=\"2%284y-3%29=8y-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >-equivalent expression \r<BR>\n" );
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document.write( "so, the rational expression is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284y-3%29+%2F%2815x%5E2-30%29=%288y-6%29%2F%2830x%5E2-60%29 ALIGN=MIDDLE  ALT=\"%284y-3%29+%2F%2815x%5E2-30%29=%288y-6%29%2F%2830x%5E2-60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or, you can solve it using proportion rules:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284y-3%29+%2F%2815x%5E2-30%29=n%2F%2830x%5E2-60%29 ALIGN=MIDDLE  ALT=\"%284y-3%29+%2F%2815x%5E2-30%29=n%2F%2830x%5E2-60%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=n=%28%284y-3%29+%2F%2815x%5E2-30%29%29%2830x%5E2-60%29 ALIGN=MIDDLE  ALT=\"n=%28%284y-3%29+%2F%2815x%5E2-30%29%29%2830x%5E2-60%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=n=%284y-3%29+%2F%2815%28x%5E2-2%29%2930%28x%5E2-2%29 ALIGN=MIDDLE  ALT=\"n=%284y-3%29+%2F%2815%28x%5E2-2%29%2930%28x%5E2-2%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=n=%28cross%2830%292%284y-3%29cross%28%28x%5E2-2%29%29%29+%2F%28cross%2815%29cross%28%28x%5E2-2%29%29%29 ALIGN=MIDDLE   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=n=2%284y-3%29+%2F1 ALIGN=MIDDLE  ALT=\"n=2%284y-3%29+%2F1\"   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=n=%288y-6%29 ALIGN=MIDDLE  ALT=\"n=%288y-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "answer is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284y-3%29+%2F%2815x%5E2-30%29=%288y-6%29+%2F%2830x%5E2-60%29 ALIGN=MIDDLE  ALT=\"%284y-3%29+%2F%2815x%5E2-30%29=%288y-6%29+%2F%2830x%5E2-60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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