document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155447>Question 155447</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321369580/algebrahomeworkh>College Algerbra in Context</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am not sure if this belongs here or not.<BR>\n" );
document.write( "My question:\r<BR>\n" );
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document.write( "How do you solve or what meathod do you use to slove:<BR>\n" );
document.write( "(x+h)^2\r<BR>\n" );
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document.write( "I thought the answer would be:<BR>\n" );
document.write( "x^2+h^2\r<BR>\n" );
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document.write( "However, the answer is:<BR>\n" );
document.write( "x^2+2xh+H^2\r<BR>\n" );
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document.write( "Why is the 2xh in the answer?<BR>\n" );
document.write( "And how do you come to get that answer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114480 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=114480\">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=%28x%2Bh%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2Bh%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bh%29%28x%2Bh%29 ALIGN=MIDDLE  ALT=\"%28x%2Bh%29%28x%2Bh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand. Remember something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2=A%2AA ALIGN=MIDDLE  ALT=\"A%5E2=A%2AA\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's FOIL the expression\r<BR>\n" );
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document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28x%29%2Bh%29%28highlight%28x%29%2Bh%29 ALIGN=MIDDLE  ALT=\"%28highlight%28x%29%2Bh%29%28highlight%28x%29%2Bh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">F</font>irst terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2A%28x%29=x%5E2 ALIGN=MIDDLE  ALT=\"%28x%29%2A%28x%29=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28x%29%2Bh%29%28x%2Bhighlight%28h%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28x%29%2Bh%29%28x%2Bhighlight%28h%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">O</font>uter terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2A%28h%29=xh ALIGN=MIDDLE  ALT=\"%28x%29%2A%28h%29=xh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bhighlight%28h%29%29%28highlight%28x%29%2Bh%29 ALIGN=MIDDLE  ALT=\"%28x%2Bhighlight%28h%29%29%28highlight%28x%29%2Bh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">I</font>nner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h%29%2A%28x%29=hx ALIGN=MIDDLE  ALT=\"%28h%29%2A%28x%29=hx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bhighlight%28h%29%29%28x%2Bhighlight%28h%29%29 ALIGN=MIDDLE  ALT=\"%28x%2Bhighlight%28h%29%29%28x%2Bhighlight%28h%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">L</font>ast terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h%29%2A%28h%29=h%5E2 ALIGN=MIDDLE  ALT=\"%28h%29%2A%28h%29=h%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bxh%2Bhx%2Bh%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2Bxh%2Bhx%2Bh%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now collect every term to make a single expression. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2xh%2Bh%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B2xh%2Bh%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms. Note: the only \"like\" terms are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xh ALIGN=MIDDLE  ALT=\"xh\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hx ALIGN=MIDDLE  ALT=\"hx\"   DISABLED_style= \"max-width:90%; height:auto;\" > (which is just the reverse of the first expression). So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xh%2Bhx=xh%2Bxh=2xh ALIGN=MIDDLE  ALT=\"xh%2Bhx=xh%2Bxh=2xh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bh%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2Bh%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > foils and simplifies to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2xh%2Bh%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B2xh%2Bh%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bh%29%5E2=x%5E2%2B2xh%2Bh%5E2 ALIGN=MIDDLE  ALT=\"%28x%2Bh%29%5E2=x%5E2%2B2xh%2Bh%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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