document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442441>Question 442441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor completely 81s^2+64-144s </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305161 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recognize in your problem 81s^2-144s+64 that 81 and 64 are perfect squares.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289s%29%5E2+=+81s%5E2 ALIGN=MIDDLE  ALT=\"%289s%29%5E2+=+81s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%29%5E2+=+64 ALIGN=MIDDLE  ALT=\"%288%29%5E2+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also recognize that the middle term is negative, while the last term is positive. In order to achieve a negative sum and positive product, both constants have to be negative... for instance -3 * -3 = 9, and -3 + -3 = -6.\r<BR>\n" );
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document.write( "Given this information, we have all we need to solve this.\r<BR>\n" );
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document.write( "Remember 81s^2 = (9s)^2 , so our first term in our factor will be 9s.<BR>\n" );
document.write( "Similarly with 64 = 8^2.\r<BR>\n" );
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document.write( "So our factorization will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289s-8%29%5E2 ALIGN=MIDDLE  ALT=\"%289s-8%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's FOIL to make sure.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289s-8%29%5E2+=+%289s-8%29%289s-8%29+=+81s%5E2+-72s+-72s+%2B+64+=+81s%5E2+-144s+%2B164 ALIGN=MIDDLE  ALT=\"%289s-8%29%5E2+=+%289s-8%29%289s-8%29+=+81s%5E2+-72s+-72s+%2B+64+=+81s%5E2+-144s+%2B164\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check.\r<BR>\n" );
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document.write( "Hope this helped! </SPAN>\n" );
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