document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=775978>Question 775978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to prove that\r<BR>\n" );
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document.write( "((x+4)/(3x^2-7x))=(((1/x)+(4/x^2))/(3-(7/x)))\r<BR>\n" );
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document.write( "By showing the steps,\r<BR>\n" );
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document.write( "So far I have tried working from the right side of the equation to get to the left, and made it into a complex fraction and combined it, then multiplied the numerator by the denominators reciprocal in order to make it a normal fraction and ended up with ((1-x)(1-4)/(3-7)(x^2-x)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #473278 by </B><A HREF=/tutors/aboutme.mpl?userid=tanjo3><B>tanjo3(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tanjo3><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=473278\">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=%28x%2B4%29%2F%283+x%5E2-7+x%29+=+%281%2Fx%2B4%2Fx%5E2%29%2F%283-7%2Fx%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%2F%283+x%5E2-7+x%29+=+%281%2Fx%2B4%2Fx%5E2%29%2F%283-7%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Let's leave the left side as is and only deal with the right side:<BR>\n" );
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document.write( "For the numerator and denominator, find a common denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Fx%5E2%2B4%2Fx%5E2%29%2F%283+x%2Fx-7%2Fx%29 ALIGN=MIDDLE  ALT=\"%28x%2Fx%5E2%2B4%2Fx%5E2%29%2F%283+x%2Fx-7%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can rewrite it as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B4%29%2Fx%5E2%29%2F%28%283x-7%29%2Fx%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B4%29%2Fx%5E2%29%2F%28%283x-7%29%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Division with fraction means taking the reciprocal of the second number and multiplying.<BR>\n" );
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document.write( "Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%2F%28x%283x-7%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%2F%28x%283x-7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%2F%283+x%5E2-7+x%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%2F%283+x%5E2-7+x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we can see that the right side is equal to the left side. </SPAN>\n" );
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