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 #473319 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=473319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "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" );
document.write( "\n" );
document.write( "By showing the steps,\r<BR>\n" );
document.write( "\n" );
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))\r<BR>\n" );
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document.write( "Simplifying the right-side: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx+%2B+4%2Fx%5E2%29%2F%283-%287%2Fx%29%29 ALIGN=MIDDLE  ALT=\"%281%2Fx+%2B+4%2Fx%5E2%29%2F%283-%287%2Fx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx+%2B+4%2Fx%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2Fx+%2B+4%2Fx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ÷ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283+-+7%2Fx%29 ALIGN=MIDDLE  ALT=\"%283+-+7%2Fx%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=%281%2Fx+%2B+4%2Fx%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2Fx+%2B+4%2Fx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ÷ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F1+-+7%2Fx%29 ALIGN=MIDDLE  ALT=\"%283%2F1+-+7%2Fx%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=%28x+%2B+4%29%2Fx%5E2 ALIGN=MIDDLE  ALT=\"%28x+%2B+4%29%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ÷ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+-+7%29%2Fx ALIGN=MIDDLE  ALT=\"%283x+-+7%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Multiplying 1st expression by LCD, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and 2nd, by LCD, x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+4%29%2Fx%5E2 ALIGN=MIDDLE  ALT=\"%28x+%2B+4%29%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%283x+-+7%29 ALIGN=MIDDLE  ALT=\"x%2F%283x+-+7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Changing  ÷ to * and inverting DIVISOR\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+4%29%2Fcross%28x%5E2%29x ALIGN=MIDDLE  ALT=\"%28x+%2B+4%29%2Fcross%28x%5E2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28x%29%2F%283x+-+7%29 ALIGN=MIDDLE  ALT=\"cross%28x%29%2F%283x+-+7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+4%29%2F%28x%283x+-+7%29%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+4%29%2F%28x%283x+-+7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28x+%2B+4%29%2F%283x%5E2+-+7x%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28x+%2B+4%29%2F%283x%5E2+-+7x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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