document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126153>Question 1126153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the polynomial: <BR>\n" );
document.write( "(v-2u)^2-(2u-v)(u+2v)-2v+4u\r<BR>\n" );
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document.write( "All that I know is that (2u-v)=-(v-2u). I'd really appreciate your help! 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 #742481 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28v-2u%29%5E2-%282u-v%29%28u%2B2v%29-2v%2B4u+ ALIGN=MIDDLE  ALT=\"+%28v-2u%29%5E2-%282u-v%29%28u%2B2v%29-2v%2B4u+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28v-2u%29%5E2+%2B+%28%28v-2u%29%28u%2B2v%29%29+%2B+%28-2%29%28v-2u%29+ ALIGN=MIDDLE  ALT=\"+%28v-2u%29%5E2+%2B+%28%28v-2u%29%28u%2B2v%29%29+%2B+%28-2%29%28v-2u%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Factoring out the common <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28v-2u%29+ ALIGN=MIDDLE  ALT=\"+%28v-2u%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28v-2u%29++%28+%28v-2u%29+%2B+%28u%2B2v%29+-2++%29++ ALIGN=MIDDLE  ALT=\"+%28v-2u%29++%28+%28v-2u%29+%2B+%28u%2B2v%29+-2++%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight+%28+%28v-2u%29+%28+3v-u-2+%29%29++ ALIGN=MIDDLE  ALT=\"+highlight+%28+%28v-2u%29+%28+3v-u-2+%29%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++highlight+%28+%282u-v%29+%28+u-3v%2B2+%29%29++ ALIGN=MIDDLE  ALT=\"++highlight+%28+%282u-v%29+%28+u-3v%2B2+%29%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" > <br>\r<BR>\n" );
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document.write( "I encourage you to multiply this result out, and the original expression as well.  Then compare them to prove to yourself that they are indeed equal.  \r<BR>\n" );
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