document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873961>Question 873961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Math Tutor,\r<BR>\n" );
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document.write( "Please help me with:<BR>\n" );
document.write( "2 times the square root of x-1 + 1 = x<BR>\n" );
document.write( "2 times the square root of x-1 = x-1<BR>\n" );
document.write( "(2 times the square root of x-1)^2 = (x-1)^2<BR>\n" );
document.write( "4(x-1) = x^2-2x+1\r<BR>\n" );
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document.write( "My frustration: Why is there an extra 2x on the right hand side now? Shouldn't it just be x^2+1? Where did 2x come from? Am I missing a rule? \r<BR>\n" );
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document.write( "With gratitude,<BR>\n" );
document.write( "Nats </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527199 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=527199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The reason for the 2x comes from expanding out  (x-1)^2\r<BR>\n" );
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document.write( "When you expand out  (x-1)^2, you will NOT get x^2 + 1\r<BR>\n" );
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document.write( "That's a very common fallacy people fall for.\r<BR>\n" );
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document.write( "Here is what you should get\r<BR>\n" );
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document.write( "(x-1)^2 = (x-1)*(x-1)\r<BR>\n" );
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document.write( "(x-1)^2 = x(x-1) - 1(x-1)\r<BR>\n" );
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document.write( "(x-1)^2 = x^2 - x - x + 1\r<BR>\n" );
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document.write( "(x-1)^2 = x^2 - 2x + 1\r<BR>\n" );
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document.write( "I recommend using a rectangle to help multiply (example of what I mean shown below. In the example, they are multiplying out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://www.shelovesmath.com/wp-content/uploads/2012/10/Multiplication-Box-Method.png\">\r<BR>\n" );
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document.write( "(Image Source: <a  rel=nofollow HREF=\"http://www.shelovesmath.com/algebra/intermediate-algebra/introduction-to-polynomials/\">http://www.shelovesmath.com/algebra/intermediate-algebra/introduction-to-polynomials/</a>) </SPAN>\n" );
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