document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114366>Question 114366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the expression.\r<BR>\n" );
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document.write( "a squared(b-c) - 16b squared(b-c) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83278 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=83278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%28b-c%29-16b%5E2%28b-c%29 ALIGN=MIDDLE  ALT=\"a%5E2%28b-c%29-16b%5E2%28b-c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First step is to factor out the (b-c),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2-16b%5E2%29%28b-c%29 ALIGN=MIDDLE  ALT=\"%28a%5E2-16b%5E2%29%28b-c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now recognize that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-16b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2-16b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the difference of two squares that factors as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-4b%29%28a%2B4b%29 ALIGN=MIDDLE  ALT=\"%28a-4b%29%28a%2B4b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So the complete factorization is:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-4b%29%28a%2B4b%29%28b-c%29 ALIGN=MIDDLE  ALT=\"%28a-4b%29%28a%2B4b%29%28b-c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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