document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=667406>Question 667406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to factor ax^3+a \r<BR>\n" );
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document.write( "i factored out the \"a\" and have <BR>\n" );
document.write( "              a(x^3+1)<BR>\n" );
document.write( "i'm using (a+b) (a^2-ab+b^2)<BR>\n" );
document.write( "i believe it's (x+1)(x^2-1x+1) <BR>\n" );
document.write( "I'm stuck i don't know how to move on from here. <BR>\n" );
document.write( "Thank you :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415029 by </B><A HREF=/tutors/aboutme.mpl?userid=lynnlo><B>lynnlo(4176)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lynnlo><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=415029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ax^3+a<BR>\n" );
document.write( "a(x^3+1)=0============solve for x<BR>\n" );
document.write( "x^3+1=0===divide both sides by a constant to simplify the equation<BR>\n" );
document.write( "(x+1)(x^2-x+1)=0===factor the left hand side<BR>\n" );
document.write( "x+1=0  OR   x^2-x+1=0=====split into 2 equations<BR>\n" );
document.write( "look at the first equation,solve for X,subtract 1 from both sides<BR>\n" );
document.write( "x=1 OR  x^2-x+1=0<BR>\n" );
document.write( "look at the second equation,solve the quadratic equation <BR>\n" );
document.write( "by completing the square,subtract 1 from both sides x=-1 OR x^2-x=-1<BR>\n" );
document.write( "add 1/4 to both sides======x=-1   OR  x^2-x+1/4=-3/4<BR>\n" );
document.write( "factor left side,write left hand side as a square=x=-1 OR (x-1/2)^2=-3/4<BR>\n" );
document.write( "eliminate the exponent on left side,square root of both sides<BR>\n" );
document.write( "x=-1  OR  x-1/2= i&#8730;3/2  OR  x-1/2=-1/2(i&#8730;3)<BR>\n" );
document.write( "look at the second equation,solve for X,add 1/2 to both sides<BR>\n" );
document.write( "x=-1 OR x=1/2+i&#8730;3/2  OR x-1/2=-1/2(i&#8730;3)<BR>\n" );
document.write( "look at third equation,solve for X<BR>\n" );
document.write( "add 1/2 to both sides<BR>\n" );
document.write( "x=-1   OR  x=1/2+i&#8730;3/2  OR  x=1/2-i&#8730;3/2 </SPAN>\n" );
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