document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450995>Question 450995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi~   Factor completely: y^4-1\r<BR>\n" );
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document.write( "thanks <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310135 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=310135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y^4 - 1 is a difference of two squares, <BR>\n" );
document.write( "it is in the form a² - b²,<BR>\n" );
document.write( "it factors into the form (a + b)(a - b)\r<BR>\n" );
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document.write( "If a² is y^4, then a is y² {the square root of y^4}<BR>\n" );
document.write( "If b² is 1, then b is 1 {the square root of 1}\r<BR>\n" );
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document.write( "y^4 - 1<BR>\n" );
document.write( "= (y² + 1)(y² - 1){factored the difference of two squares into two binomials}<BR>\n" );
document.write( "= (y² + 1)(y + 1)(y - 1) {y² - 1 was also a difference of two squares, as before}<BR>\n" );
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