document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007733>Question 1007733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [(1-x^2)(x+2)^2] / (2+x)(x-1)\r<BR>\n" );
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document.write( "Please explain clearly, step by step, how you got to the answer. 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 #623612 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay, from<BR>\n" );
document.write( "[(1-x^2)(x+2)^2] / (2+x)(x-1)<BR>\n" );
document.write( "let's factor the numerator and get<BR>\n" );
document.write( "[(1+x)(1-x)(x+2)(x+2)] / (2+x)(x-1)<BR>\n" );
document.write( "You can see that (x+2) and (2+x) are identical factors and thus cancel out...<BR>\n" );
document.write( "[(1+x)(1-x)(x+2)] / (x-1)<BR>\n" );
document.write( "It turns out that (1-x) / (x-1) = -1, so they also cancel out, leaving a minus one in their place...<BR>\n" );
document.write( "-(1+x)(x+2) or<BR>\n" );
document.write( "-(x+1)(x+2)\r<BR>\n" );
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document.write( "And that's it. </SPAN>\n" );
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