document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74431>Question 74431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I need help with adding and subtracting with unlike denominators. If you can do these 3 problems and try to explain how you did them I would be very appreicative. \r<BR>\n" );
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document.write( "1.  (x+8)/(3x-1) + (x+3)/(x+1)<BR>\n" );
document.write( "2.  4/(x+4) - 7/5x<BR>\n" );
document.write( "3.  4x/(5x-2) - 2x/(5x+1)\r<BR>\n" );
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document.write( "Thank You!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53432 by </B><A HREF=/tutors/aboutme.mpl?userid=cathieb1225><B>cathieb1225(41)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cathieb1225><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=53432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. (x+8)(3x-1)+(x+3)(x+1)<BR>\n" );
document.write( "First, multiply the two binomial sets.<BR>\n" );
document.write( "(3x^2-x+24x-8)+(x^2+x+3x+3)<BR>\n" );
document.write( "Combine any like terms in the parentheses<BR>\n" );
document.write( "(3x^2+23x-8) +(x^2+4x+3)<BR>\n" );
document.write( "Drop the parentheses. Because there is an addition sign between the two sets of parentheses, there will be no sign changes in the second set of parentheses.<BR>\n" );
document.write( "3x^2+23x-8+x^2+4x+3<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "-5x^2+27x-5<BR>\n" );
document.write( "To avoid confusion, you can also rewrite the expression with the like terms beside each other.\r<BR>\n" );
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document.write( "2.  4/(x+4) - 7/5x<BR>\n" );
document.write( "First, you must make both \"fractions\" have a common denominator. You do this by multiplying the first by 5x/5x and the second by (x+4)/(x+4). That is the same thing as multiplying both of them by 1. This gives you an equivalent fraction for each one of them.<BR>\n" );
document.write( "(5x/5x)(4/x+4)-(x+4)/(x+4)(7/5x)<BR>\n" );
document.write( "Multiply them out.<BR>\n" );
document.write( "(20x/5x^2+20x) - (7x+4/5x^2+20x)<BR>\n" );
document.write( "Now that they have a common denominator, you can put the numerators together.<BR>\n" );
document.write( "Note that the minus sign between the two fractions causes both the 7x and the 4 to be negative.<BR>\n" );
document.write( "20x-7x-4/5x^2+20x<BR>\n" );
document.write( "Combine like terms in the numerator. <BR>\n" );
document.write( "13x-4/5x^2+20x\r<BR>\n" );
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document.write( "3. 4x/(5x-2) - 2x/(5x+1) <BR>\n" );
document.write( "You will do the same thing with this expression, giving both fractions a common denominator. This will be done by multiplying the first fraction by (5x+1)/(5x+1) and the second one by (5x-2)/(5x-2).<BR>\n" );
document.write( "(5x+1)/(5x+1)(4x/5x-2)-(5x-2)/(5x-2)(2x/5x+1)<BR>\n" );
document.write( "Multiply them out.<BR>\n" );
document.write( "(20x^2+4x/(25x^2-10x+5x-2)-(10x^2+4)/25x^2-10x+5x-2)<BR>\n" );
document.write( "Combine the like terms in the denominators.<BR>\n" );
document.write( "(20x^2+4/25x^2-5x-2)-(10x^2+4)/25x^2-5x-2)<BR>\n" );
document.write( "Now that they have a common denominator, you can put the numerators together.<BR>\n" );
document.write( "Note that the minus sign between the two fractions causes 10x^2 and the 4 to be negative.<BR>\n" );
document.write( "20x^2+4x-10x^2-4x/25x^2-5x-2<BR>\n" );
document.write( "Combine like terms in the numerator.<BR>\n" );
document.write( "10x^2/25x^2-5x-2\r<BR>\n" );
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document.write( " </SPAN>\n" );
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