document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187375>Question 1187375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify each of the following and state any restrictions on the variable.<BR>\n" );
document.write( "(4x+1)/(3x-5)  +   (2x)/(12x-20)\r<BR>\n" );
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document.write( "(3x-1)/(x^2+4x+3)   -  (x+6)/(x^2+7x+12) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818327 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=818327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> multiply the first term by 4/4<BR>\n" );
document.write( "4(4x+1) divided by 4(3x-5) (which is 12x-20) add 2x/(12x-20)\r<BR>\n" );
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document.write( "The difference between the numerators is 16x+4+2x=18x+4<BR>\n" );
document.write( "The answer is (18x+4)/(12x-20)<BR>\n" );
document.write( "(9x+2)/6x-10), so long as x does not equal (10/6) or (5/3)\r<BR>\n" );
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document.write( "This is <BR>\n" );
document.write( "(3x-1)/(x+1)(x+3) subtract (x+6)/(x+4)(x+3)<BR>\n" );
document.write( "common denominator is (x+1)(x+3)(x+4) which will cover every term in each.<BR>\n" );
document.write( "multiply the first by (x+4)/(x+4), so the product is (3x-1)(x+4)=3x^2+11x-4 divided by the common denominator.<BR>\n" );
document.write( "multiply the second term by (x+1) so it is x^2+7x+6 divided by the common denominator.<BR>\n" );
document.write( "subtract the second numerator from the first to get 2x^2+4x-10 divided by the common denominator.<BR>\n" );
document.write( "This is 2(x^2+2x-5)/(x+1)(x+4)(x+3). Restrictions: x cannot be -1, -4, or -3.<BR>\n" );
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