document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192644>Question 192644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor: (16X^4)-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144630 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=144630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you saw:<BR>\n" );
document.write( "a^2 - b^2<BR>\n" );
document.write( "This is a \"difference of squares\" -- which factors out to:<BR>\n" );
document.write( "(a-b)(a+b)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, if you started with:<BR>\n" );
document.write( "(16X^4)-1<BR>\n" );
document.write( "Notice we can rewrite it as:<BR>\n" );
document.write( "(4x^2)^2 - 1^2<BR>\n" );
document.write( "Now, you have a difference of squares resulting in:<BR>\n" );
document.write( "(4x^2 - 1)(4x^2 + 1)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Oh wait, but (4x^2 - 1) is also a difference squares:<BR>\n" );
document.write( "(2x-1)(2x+1)(4x^2 + 1) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );