document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045197>Question 1045197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove (cosx^3-sinx^3)/(cosx-sinx)=(cosx^2)/(sinx+cosx) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660640 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> prove (cosx^3-sinx^3)/(cosx-sinx)=(cosx^2)/(sinx+cosx) <BR>\n" );
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document.write( "I'll assume you mean cos^3(x), etc, not cos(x^3)<BR>\n" );
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document.write( "(cosx^3-sinx^3)/(cosx-sinx)=(cosx^2)/(sinx+cosx)<BR>\n" );
document.write( "cos^2 + sin*cos + sin^2 = cos^2/(sin+cos)<BR>\n" );
document.write( "1 + sin*cos = cos^2/(sin+cos)<BR>\n" );
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document.write( "At x = 45 degs:<BR>\n" );
document.write( "1 + 1/2 =? (1/2)/sqrt(2)<BR>\n" );
document.write( "Not an identity.<BR>\n" );
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