document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622680>Question 622680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. If the area of a square garden is (x<BR>\n" );
document.write( "2<BR>\n" );
document.write( " + 8x + 16) sq units, is it possible to find the measure of its side? Why? Or why <BR>\n" );
document.write( "     not? How? 2. If the area of a garden is (3x<BR>\n" );
document.write( "2<BR>\n" );
document.write( " + 8x + 4) sq units, is it possible to find the measure of the side? Is the garden a <BR>\n" );
document.write( "square? Why?   Or why not? <BR>\n" );
document.write( " 3. Is  x<BR>\n" );
document.write( "2<BR>\n" );
document.write( " – y<BR>\n" );
document.write( "2<BR>\n" );
document.write( " = (x – y)<BR>\n" );
document.write( "2<BR>\n" );
document.write( " ? Explain why or why not. If you do not  understand the rules on factoring , what  <BR>\n" );
document.write( "     do you think will happen? <BR>\n" );
document.write( "4. What is the difference of the squares  of 105 and 5 ? What is the square of their difference?  <BR>\n" );
document.write( "                    5.  Explain or illustrate how you can find the difference of the squares of two terms  using 105  and 5.\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391594 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=391594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B8x%2B16 ALIGN=MIDDLE  ALT=\"x%5E2%2B8x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%28x%2B4%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Yes because the given quadratic expression is a perfect square which can be shown by factoring.<BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B8x%2B4 ALIGN=MIDDLE  ALT=\"3x%5E2%2B8x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B2%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%283x%2B2%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Yes! The sides are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B2%29 ALIGN=MIDDLE  ALT=\"%283x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the garden is not a square because the sides are not equal.<BR>\n" );
document.write( "3. Is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2+=+%28x-y%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2+=+%28x-y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "To find out, expand the right side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-y%29%5E2+=+%28x-y%29%28x-y%29 ALIGN=MIDDLE  ALT=\"%28x-y%29%5E2+=+%28x-y%29%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2xy%2By%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-2xy%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2+=+%28x%2By%29%28x-y%29 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2+=+%28x%2By%29%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-y%29%5E2+%3C%3E+x%5E2-y%5E2 ALIGN=MIDDLE  ALT=\"%28x-y%29%5E2+%3C%3E+x%5E2-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4.<BR>\n" );
document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105%5E2-5%5E2+=+11025-25 ALIGN=MIDDLE  ALT=\"105%5E2-5%5E2+=+11025-25\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11000 ALIGN=MIDDLE  ALT=\"11000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28105-5%29%5E2+=+%28100%29%5E2 ALIGN=MIDDLE  ALT=\"%28105-5%29%5E2+=+%28100%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10000 ALIGN=MIDDLE  ALT=\"10000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5. Use the identity:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2-b%5E2%29+=+%28a-b%29%28a%2Bb%29 ALIGN=MIDDLE  ALT=\"%28a%5E2-b%5E2%29+=+%28a-b%29%28a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and if a = 105 and b = 5, then...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105%5E2-5%5E2+=+%28105-5%29%28105%2B5%29 ALIGN=MIDDLE  ALT=\"105%5E2-5%5E2+=+%28105-5%29%28105%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%29%28110%29=11000 ALIGN=MIDDLE  ALT=\"%28100%29%28110%29=11000\"   DISABLED_style= \"max-width:90%; height:auto;\" >   </SPAN>\n" );
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