document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107235>Question 107235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Add or subtract as indicated. Express the results in simplest form.\r<BR>\n" );
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document.write( "(x^2)/(x- 3)- (9)/(x- 3)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78064 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=78064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2F%28x-+3%29-+%289%29%2F%28x-+3%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F%28x-+3%29-+%289%29%2F%28x-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since the two fractions have the same denominator, their numerators can be combined<BR>\n" );
document.write( "over the common denominator. The result is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+9%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+9%29%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "But the numerator is the difference of two squares. Therefore it can be factored according<BR>\n" );
document.write( "to the following form:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2+-+B%5E2+=+%28A+%2B+B%29%2A%28A+-+B%29 ALIGN=MIDDLE  ALT=\"A%5E2+-+B%5E2+=+%28A+%2B+B%29%2A%28A+-+B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "In this case A = x and B = 3. So applying this factoring rule, we transform the problem to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+9%29%2F%28x-3%29=+%28%28x+-+3%29%2A%28x+%2B+3%29%29%2F%28x+-+3%29+=%28%28cross%28x-3%29%29%2A%28x+%2B+3%29%29%2Fcross%28x+-+3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "After the above cancellation of the term in the numerator that is common with the term in<BR>\n" );
document.write( "the denominator, the equivalent value of original expression is reduced to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3 ALIGN=MIDDLE  ALT=\"x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "So the answer to this problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3 ALIGN=MIDDLE  ALT=\"x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the simplest form of the given problem.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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