document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166513>Question 166513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For x²(a-b)+a²(b-x)+b²(x-a) show that (x-a) is a linear factor.<BR>\n" );
document.write( "PLEASE HELP ME!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122803 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For x²(a-b)+ a²(b-x)+ b²(x-a) show that (x-a) is a linear factor.<BR>\n" );
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document.write( "Multiply to eliminate the brackets, we can leave the last term alone<BR>\n" );
document.write( "x^2a - x^2b + a^2b - xa^2 + b^2(x-a)<BR>\n" );
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document.write( "Regroup:<BR>\n" );
document.write( "x^2a - xa^2 + a^2b - x^2b + b^2(x-a)<BR>\n" );
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document.write( "Factor out xa and b<BR>\n" );
document.write( "xa(x-a) + b(a^2 - x^2) + b^2(x-a)<BR>\n" );
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document.write( "Change the sign of b  to -, to change signs inside the brackets<BR>\n" );
document.write( "xa(x-a) - b(x^2 - b^2) + b^2(x-a)<BR>\n" );
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document.write( "Note that x^2 - b^2 is the \"difference of squares and can be factored<BR>\n" );
document.write( "xa(x-a) - b(x-a)(x+a) + b^2(x-a)<BR>\n" );
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document.write( "Note that each term contains the factor (x-a) now<BR>\n" );
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