document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=557537>Question 557537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x)=x^2+2x+8, then what does f(x+9) equal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362643 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=362643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2%2B2x%2B8 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2%2B2x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2B9%29=%28x%2B9%29%5E2%2B2%28x%2B9%29%2B8 ALIGN=MIDDLE  ALT=\"f%28x%2B9%29=%28x%2B9%29%5E2%2B2%28x%2B9%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace EVERY 'x' with 'x+9'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2B9%29=x%5E2%2B18x%2B81%2B2%28x%2B9%29%2B8 ALIGN=MIDDLE  ALT=\"f%28x%2B9%29=x%5E2%2B18x%2B81%2B2%28x%2B9%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "Side note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29%5E2+=+%28x%2B9%29%28x%2B9%29+=+x%2Ax%2Bx%2A9%2B9%2Ax%2B9%2A9+=+x%5E2%2B9x%2B9x%2B81+=+x%5E2%2B18x%2B81 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29%5E2+=+x%5E2%2B18x%2B81 ALIGN=MIDDLE  ALT=\"%28x%2B9%29%5E2+=+x%5E2%2B18x%2B81\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We are using the FOIL rule: First, Outer, Inner, Last and this means that we multiply the \"first\" terms, then the \"outer\" terms, then the \"inner\" terms, then finally the \"last\" terms. We then add up these products.\r<BR>\n" );
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document.write( "For a more in-depth look at expanding this, check out <a  rel=nofollow HREF=\"http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.557541.html\">this link</a>\r<BR>\n" );
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document.write( "--------------------------------------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2B9%29=x%5E2%2B18x%2B81%2B2x%2B18%2B8 ALIGN=MIDDLE  ALT=\"f%28x%2B9%29=x%5E2%2B18x%2B81%2B2x%2B18%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2B9%29=x%5E2%2B20x%2B107 ALIGN=MIDDLE  ALT=\"f%28x%2B9%29=x%5E2%2B20x%2B107\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2B9%29=x%5E2%2B20x%2B107 ALIGN=MIDDLE  ALT=\"f%28x%2B9%29=x%5E2%2B20x%2B107\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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