document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199598>Question 199598</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm not to sure if this is the right section for my question but here goes:<BR>\n" );
document.write( "I'm working on factorizing using the difference of two squares rule and I need help factorizing this expression.<BR>\n" );
document.write( "1) (5x-4)^2 - (x-7)^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149999 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Starting with:<BR>\n" );
document.write( "(5x-4)^2 - (x-7)^2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let a = (5x-4)<BR>\n" );
document.write( "and b = (x-7)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, we can rewrite our original equation as:<BR>\n" );
document.write( "a^2 - b^2<BR>\n" );
document.write( "This, we recognize as being equal to:<BR>\n" );
document.write( "(a+b)(a-b)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Plugging back in our values of 'a' and 'b' we get:<BR>\n" );
document.write( "(a+b)(a-b)<BR>\n" );
document.write( "= (5x-4 + x-7)(5x-4 - (x-7))<BR>\n" );
document.write( "= (6x-11)(5x-4 - x+7)<BR>\n" );
document.write( "= (6x-11)(4x+3)  (this is what they're looking for)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );