document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187324>Question 187324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factoring completely:<BR>\n" );
document.write( "5x^8 – 1280   Could the answer be: 5(x^4 + 16)(x^4 -16)  ?<BR>\n" );
document.write( "__________________<BR>\n" );
document.write( "2x²(p+q³) – (p + q³) Could the answer be (2-x^2) (p + q^3)  ?<BR>\n" );
document.write( "__________________<BR>\n" );
document.write( "Simplify:         (6+ 1/3)/(4- 2/9)   Could the answer be 57 / 17  ?<BR>\n" );
document.write( "__________________<BR>\n" );
document.write( "Solve the problem:<BR>\n" );
document.write( "The perimeter of a rectangle is 62m.  If the width were doubled and the length were increased by 21m, the perimeter would be 120m.  What are the length and width of the rectangle?<BR>\n" );
document.write( "__________________<BR>\n" );
document.write( "Solve the equation:<BR>\n" );
document.write( "3/y = y/(Sy-12)<BR>\n" );
document.write( "__________________\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract. Simplify if possible.<BR>\n" );
document.write( "(2x+5)/(x²+8x+15) – (x+2)/(x²+8x+15)   Could the answer be 1 / x+5  ?<BR>\n" );
document.write( "___________________<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140421 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=140421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factoring completely:<BR>\n" );
document.write( "5x^8 – 1280 Could the answer be: <BR>\n" );
document.write( "= 5(x^4 + 16)(x^4 -16)<BR>\n" );
document.write( "= 5(x^4+16)(x^2+4)(x+2)(x-2)\r<BR>\n" );
document.write( "\n" );
document.write( "__________________<BR>\n" );
document.write( "2x²(p+q³) – (p + q³) <BR>\n" );
document.write( "= (p+q^3)(2x^2-1)<BR>\n" );
document.write( "= (p+q^3)(sqrt(2)x -1)(sqrt(2)x + 1)<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Simplify: (6+ 1/3)/(4- 2/9) <BR>\n" );
document.write( "= (19/3) / (34/9) <BR>\n" );
document.write( "= (19/3)*(9/34)<BR>\n" );
document.write( "= (19)*(3/34)<BR>\n" );
document.write( "= 57/34<BR>\n" );
document.write( "---------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the problem:<BR>\n" );
document.write( "The perimeter of a rectangle is 62m. If the width were doubled and the length were increased by 21m, the perimeter would be 120m. What are the length and width of the rectangle?<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "L + W = 31<BR>\n" );
document.write( "(L+21) + 2W = 60<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "L + W = 31<BR>\n" );
document.write( "L +2W = 39<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Subtract 1st from 2nd to solve for \"w\":<BR>\n" );
document.write( "W = 8 meters<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Substitute to solve for \"L<BR>\n" );
document.write( "L + 8 = 31<BR>\n" );
document.write( "L = 23 meters\r<BR>\n" );
document.write( "\n" );
document.write( "__________________<BR>\n" );
document.write( "Solve the equation:<BR>\n" );
document.write( "3/y = y/(Sy-12)<BR>\n" );
document.write( "Note: Did you mean to put \"S\" in the equation? <BR>\n" );
document.write( "__________________ <BR>\n" );
document.write( "Subtract. Simplify if possible.<BR>\n" );
document.write( "(2x+5)/(x²+8x+15) – (x+2)/(x²+8x+15) <BR>\n" );
document.write( "---<BR>\n" );
document.write( "The denominators are the same ; combine the numerators over the denominator:<BR>\n" );
document.write( "[2x+5 - (x+2)]/[(x+3)(x+5)]\r<BR>\n" );
document.write( "\n" );
document.write( "= [x+3]/[(x+3)(x+5)]\r<BR>\n" );
document.write( "\n" );
document.write( "= 1/(x+5)<BR>\n" );
document.write( "You are correct.<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "___________________\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );