document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62545>Question 62545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FROM A SQUARE PIECE OF CARDBOARD WITH WIDTH x INCHES, A SQUARE OF WIDTH x-3 INCHES IS REMOVED FROM THE CENTER.  WHAT IS THE AREA OF THE REMAINING PIECE AS A FUNCTION OF x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43317 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=43317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Width of the square piece of cardboard = x inches\r<BR>\n" );
document.write( "\n" );
document.write( "Area of the square piece = width x width<BR>\n" );
document.write( "                         = x^2 sq inches\r<BR>\n" );
document.write( "\n" );
document.write( "Width of the removed square = x-3 inches.<BR>\n" );
document.write( "Area of the removed square = (x-3)^2 sq inches\r<BR>\n" );
document.write( "\n" );
document.write( "Area of the remaining piece = x^2 - (x-3)^2\r<BR>\n" );
document.write( "\n" );
document.write( "==>                        = x^2 - (x^2 -6x + 9)  [expand (x-3)^2]<BR>\n" );
document.write( "                           = x^2 - x^2 + 6x - 9<BR>\n" );
document.write( "                           = 6x - 9\r<BR>\n" );
document.write( "\n" );
document.write( "Area of the remaining piece as a function of x = 6x - 9\r<BR>\n" );
document.write( "\n" );
document.write( "Good Luck!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );