document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133937>Question 1133937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> are the rational expressions a-b/b-a   and    b-a/a-b   ( I cant put them in fraction form  on here) equivalent? Explain in detail why the are or why they are not equivalent. thankyou. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751214 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-b%29%2F%28b-a%29+=+%28a-b%29%2F%28-1%28a-b%29%29+=+1%2F-1+=+-1 ALIGN=MIDDLE  ALT=\"%28a-b%29%2F%28b-a%29+=+%28a-b%29%2F%28-1%28a-b%29%29+=+1%2F-1+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b-a%29%2F%28a-b%29+=+%28-1%28a-b%29%29%2F%28a-b%29+=+-1%2F1+=+-1 ALIGN=MIDDLE  ALT=\"%28b-a%29%2F%28a-b%29+=+%28-1%28a-b%29%29%2F%28a-b%29+=+-1%2F1+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "YES: the two expressions have the same value.<br><BR>\n" );
document.write( "If you go very far with algebra and higher mathematics, you will encounter numerous problems where you have an expression like (a-b)/(b-a).  Learn to recognize that the two expressions are opposites of each other: (a-b) = -1(b-a); (b-a) = -1(a-b). </SPAN>\n" );
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