document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=482500>Question 482500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I dont understand how to get this answer for my precal homework the answer is (6x(raised to the 2nd) -39x=52)/(x-9)(x+2) for the equation if f(x)= ((x+8)/(x-9))+((5x-4)/(x+2)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330310 by </B><A HREF=/tutors/aboutme.mpl?userid=LagrangeSon678><B>LagrangeSon678(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LagrangeSon678><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=LagrangeSon678><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=330310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> obviously we need to add these fractions that have unlike denominators, so what we need to do is find the LCD\r<BR>\n" );
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document.write( "f(x)= ((x+8)/(x-9))+((5x-4)/(x+2))\r<BR>\n" );
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document.write( "Now, what would be our common denominator?<BR>\n" );
document.write( "It would be (x-9)(x+2)\r<BR>\n" );
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document.write( "Now we multiply the top and bottom of the first fraction by (x+2)\r<BR>\n" );
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document.write( "Then the top and bottom of the second fraction is multiplied by (x-9)\r<BR>\n" );
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document.write( "this gives us:\r<BR>\n" );
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document.write( "(x+2)(x+8)       (x-9)(5x-4)<BR>\n" );
document.write( "----------  +   -------------<BR>\n" );
document.write( "(x-9)(x+2)       (x-9)(x+2)\r<BR>\n" );
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document.write( "Now we combine the fractions and get \r<BR>\n" );
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document.write( "  (x+2)(x+8)+(x-9)(5x-4)<BR>\n" );
document.write( "----------------------------     <BR>\n" );
document.write( "         (x-9)(x+2)\r<BR>\n" );
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document.write( "Now lets expand the numerator of this fraction. We can use Foil for this.\r<BR>\n" );
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document.write( "  (x^2+10x+16)+(5x^2-49x+36)<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "     (x-9)(x+2)\r<BR>\n" );
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document.write( "Our last step is to combine like terms in the numerator. \r<BR>\n" );
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document.write( "      <BR>\n" );
document.write( "      6x^2-39x+52<BR>\n" );
document.write( "     --------------<BR>\n" );
document.write( "       (x-9)(x+2)\r<BR>\n" );
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document.write( "Voila! That is our answer. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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