document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6255>Question 6255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am not certain how you get the answer for this, will you please show each step.\r<BR>\n" );
document.write( "\n" );
document.write( "The Problem: ar^2 - brs + ars - br^2<BR>\n" );
document.write( "I worked some of the problem: <BR>\n" );
document.write( "ar^2 - brs + ars - br^2 = ar^2 + ars - brs - br^2<BR>\n" );
document.write( "                        = a(r^2 + rs) -b(rs - r^2)<BR>\n" );
document.write( "                        = (r^2 + rs)(rs - r^2)<-did the\"a\" and \"-b\" cancel out?.<BR>\n" );
document.write( "   <BR>\n" );
document.write( "This is the textbook's anwser:       <BR>\n" );
document.write( "r(r + s)(a - b)  \r<BR>\n" );
document.write( "\n" );
document.write( "I am not understanding, please help.<BR>\n" );
document.write( "tsj\r<BR>\n" );
document.write( "\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 #3339 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=3339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor: ar^2 - brs + ars - br^2  \r<BR>\n" );
document.write( "\n" );
document.write( "First, group the terms containing r^2 together and group the terms containing rs together.\r<BR>\n" );
document.write( "\n" );
document.write( "(ar^2 - br^2) + (ars - brs)  From the first group, factor the r^2 and from the second group, factor the rs.\r<BR>\n" );
document.write( "\n" );
document.write( "r^2(a - b) + rs(a - b)  Now factor the (a - b)<BR>\n" );
document.write( "(a - b)(r^2 + rs) Finally, you can factor the r from the second group.\r<BR>\n" );
document.write( "\n" );
document.write( "r(a - b)(r + s) and this is exactly equivalent to: r(r + s)(a - b) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );