document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68970>Question 68970</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help in solving these two math problems. Here is the first one.\r<BR>\n" );
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document.write( "Add. simplify if possible: 9u/u2-49 + u/u-7  This is adding here no division is included. That's just where it is underline top and bottom portions.\r<BR>\n" );
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document.write( "Next problem is:\r<BR>\n" );
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document.write( "Subtract. simplify if possible: a/a^2+5a+6 - 2/a^2+3a+2 There is no dividing with this one either. Just the underline top and bottom portions.\r<BR>\n" );
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document.write( "I will greatly appreciate if you can help with these two problems. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49125 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=49125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a/a^2+5a+6 - 2/a^2+3a+2\r<BR>\n" );
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document.write( "Fractions can only be subtracted if they have the same denominator.<BR>\n" );
document.write( "Factor each denominator to get;<BR>\n" );
document.write( "=a/[(a+3)(a+2)]  - 2/[(a+1)(a+2)]<BR>\n" );
document.write( "The least common denominator (lcd) is (a+1)(a+2)(a+3)<BR>\n" );
document.write( "Rewrite each fraction with the lcd as its denominator:<BR>\n" );
document.write( "a(a+1)/lcd - 2(a+3)/lcd<BR>\n" );
document.write( "Since they have the same denominator subtract the numerators<BR>\n" );
document.write( "and write over the lcd, as follows:<BR>\n" );
document.write( "=[a^2+a-2a-6]/lcd<BR>\n" );
document.write( "=(a^2-a-6)/lcd<BR>\n" );
document.write( "Factor to get:<BR>\n" );
document.write( "=[(a-3)(a+2)]/[(a+1)(a+2)(a+3)]<BR>\n" );
document.write( "Cancel the common factor of (a+2) to get:<BR>\n" );
document.write( "=(a-3)/[(a+1)(a+3)]<BR>\n" );
document.write( "-------------------------------\r<BR>\n" );
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document.write( "9u/u2-49 + u/u-7 <BR>\n" );
document.write( "=9u/[(u-7)(u+7)] + u/(u-7)<BR>\n" );
document.write( "The lcd is (u-7)(u+7)<BR>\n" );
document.write( "Rewrite the fractions with the lcd as their denominator:<BR>\n" );
document.write( "=[9u + u(u+7)]/lcd<BR>\n" );
document.write( "=(u^2+16u]/lcd<BR>\n" );
document.write( "=(u(u+16))/[(u-7)(u+7)]<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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