document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099332>Question 1099332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of an oak cabinet that is a large square with sides of 6x feet and has a square cut-out region whose sides are y feet.  Write your answers in factored form. \r<BR>\n" );
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document.write( "I think the equation is 6x&#8901;6x-y&#8901;y or 6x^2-y^2, but I'm not entirely sure if that is right or how to put it in factored form.\r<BR>\n" );
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document.write( "Thank you in advance for your help!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713834 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=713834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i think the area of the large square is (6x)^2 = 36x^2\r<BR>\n" );
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document.write( "i think the area of the small square that is cut out of it is y^2\r<BR>\n" );
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document.write( "the net area of the cabinet would be 36x^2 - y^2.\r<BR>\n" );
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document.write( "this takes the form of a^2 - b^2 = (a-b) * (a+b), which is a general formula that you might be familiar with.\r<BR>\n" );
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document.write( "a is equal to 6x.<BR>\n" );
document.write( "b is equal to y\r<BR>\n" );
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document.write( "36x^2 - y^4 becomes (6x - y) * (6x + y)\r<BR>\n" );
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document.write( "to prove that this is true, simply multiply the factors together.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "6x * 6x = 36x^2<BR>\n" );
document.write( "6x * y = 6xy<BR>\n" );
document.write( "-y * 6x = -6xy<BR>\n" );
document.write( "-y * y = -y^2\r<BR>\n" );
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document.write( "the expression becomes 36x^2 + 6xy - 6xy - y^2\r<BR>\n" );
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document.write( "combine like terms to get 36x^2 - y^2.\r<BR>\n" );
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document.write( "the positive and negative 6xy cancel each other out and disappear.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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