document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149104>Question 149104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELLO MAY SOMEONE HELP ME WITH THIS PROBLEM IM STUCK IM HAVING A DIFFICULT TIME IN ALGEBRA.<BR>\n" );
document.write( "FOIL these polynomials <BR>\n" );
document.write( "(3x + 5y)(3x - 5y) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109374 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The way I look at it is, each term inside both parentheses gets<BR>\n" );
document.write( "multiplied by each term in side the other parenthesis<BR>\n" );
document.write( "for practice:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B+b%29%28+c+%2B+d+%2B+e+%2B+f+%2B+g+%2B+h%29 ALIGN=MIDDLE  ALT=\"%28a+%2B+b%29%28+c+%2B+d+%2B+e+%2B+f+%2B+g+%2B+h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Remember <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > gets multiplied by EACH term in the other parenthesis<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > also gets multiplied by EACH term in the other parenthesis<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ac+%2B+ad+%2B+ae+%2B+af+%2B+ag+%2B+ah ALIGN=MIDDLE  ALT=\"ac+%2B+ad+%2B+ae+%2B+af+%2B+ag+%2B+ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the other terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bc+%2B+bd+%2B+be+%2B+bf+%2B+bg+%2B+bh ALIGN=MIDDLE  ALT=\"bc+%2B+bd+%2B+be+%2B+bf+%2B+bg+%2B+bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The answer is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ac+%2B+ad+%2B+ae+%2B+af+%2B+ag+%2B+ah+%2B+bc+%2B+bd+%2B+be+%2B+bf+%2B+bg+%2B+bh ALIGN=MIDDLE  ALT=\"ac+%2B+ad+%2B+ae+%2B+af+%2B+ag+%2B+ah+%2B+bc+%2B+bd+%2B+be+%2B+bf+%2B+bg+%2B+bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Think of your problem as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B+b%29%28c+%2B+d%29 ALIGN=MIDDLE  ALT=\"%28a+%2B+b%29%28c+%2B+d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+3x ALIGN=MIDDLE  ALT=\"a+=+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+5y ALIGN=MIDDLE  ALT=\"b+=+5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+3x ALIGN=MIDDLE  ALT=\"c+=+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+-5y ALIGN=MIDDLE  ALT=\"d+=+-5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Following my method,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a+%2B+b%29%28c+%2B+d%29+=+ac+%2B+ad+%2B+bc+%2B+bd ALIGN=MIDDLE  ALT=\"+%28a+%2B+b%29%28c+%2B+d%29+=+ac+%2B+ad+%2B+bc+%2B+bd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now just substitute terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2A3x+%2B+3x%2A%28-5y%29+%2B+5y%2A3x+%2B+5y%2A%28-5y%29 ALIGN=MIDDLE  ALT=\"3x%2A3x+%2B+3x%2A%28-5y%29+%2B+5y%2A3x+%2B+5y%2A%28-5y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-+15xy+%2B+15xy+-+25y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2+-+15xy+%2B+15xy+-+25y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-+25y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2+-+25y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "How can I check this answer? One way is to pick values <BR>\n" );
document.write( "for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and see if answer checks OK<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5 ALIGN=MIDDLE  ALT=\"x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+11 ALIGN=MIDDLE  ALT=\"y+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+%2B+5y%29%283x+-+5y%29 ALIGN=MIDDLE  ALT=\"%283x+%2B+5y%29%283x+-+5y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A5+%2B+5%2A11%29%283%2A5+-+5%2A11%29 ALIGN=MIDDLE  ALT=\"%283%2A5+%2B+5%2A11%29%283%2A5+-+5%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15+%2B+55%29%2815+-+55%29 ALIGN=MIDDLE  ALT=\"15+%2B+55%29%2815+-+55%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2A%28-40%29+=+-2800 ALIGN=MIDDLE  ALT=\"70%2A%28-40%29+=+-2800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now check my answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-+25y%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2+-+25y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A5%5E2+-+25%2A11%5E2 ALIGN=MIDDLE  ALT=\"9%2A5%5E2+-+25%2A11%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A25+-+25%2A121 ALIGN=MIDDLE  ALT=\"9%2A25+-+25%2A121\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225+-+3025+=+-2800 ALIGN=MIDDLE  ALT=\"225+-+3025+=+-2800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );