document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149486>Question 149486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Melissa plans to ship a computer in a cubic box that measures x inches on a side. She later determines that her shipping cost will be less if she uses a retanguar box that is 3 inches shorter and 5 inches longer than the cubic box. Write an equation v(x) for the volume of the new box. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109666 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=109666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "The volume of any rectangular box is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=L%2AW%2AH ALIGN=MIDDLE  ALT=\"V=L%2AW%2AH\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since the height is \"3 inches shorter \" and the length is \"5 inches longer than the cubic box\" , this means that the height is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=x-3 ALIGN=MIDDLE  ALT=\"H=x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the length is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=x-5 ALIGN=MIDDLE  ALT=\"L=x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note: the width remains at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=x ALIGN=MIDDLE  ALT=\"W=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the volume of the rectangular box is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%28x-5%29%2Ax%2A%28x-3%29 ALIGN=MIDDLE  ALT=\"V=%28x-5%29%2Ax%2A%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%28x-5%29%2Ax%2A%28x-3%29 ALIGN=MIDDLE  ALT=\"V=%28x-5%29%2Ax%2A%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=x%28x-5%29%28x-3%29 ALIGN=MIDDLE  ALT=\"V=x%28x-5%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=x%28x%5E2-8x%2B15%29 ALIGN=MIDDLE  ALT=\"V=x%28x%5E2-8x%2B15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x%2B15 ALIGN=MIDDLE  ALT=\"x%5E2-8x%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=x%5E3-8x%5E2%2B15x ALIGN=MIDDLE  ALT=\"V=x%5E3-8x%5E2%2B15x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "So the volume of the rectangular box is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=x%5E3-8x%5E2%2B15x ALIGN=MIDDLE  ALT=\"V=x%5E3-8x%5E2%2B15x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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