document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329605>Question 329605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help with this (x-1)(x^3+x^2+x)=? Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236271 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=236271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x-1)(x^3+x^2+x) = ?\r<BR>\n" );
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document.write( "Use the distributive law of multiplication to get:\r<BR>\n" );
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document.write( "(x-1)(x^3+x^2+x) equals:\r<BR>\n" );
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document.write( "(x * (x^3+x^2+x)) - (1 * (x^3+x^2+x))\r<BR>\n" );
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document.write( "This becomes:\r<BR>\n" );
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document.write( "x^4 + x^3 + x^2 - x^3 - x^2 - x\r<BR>\n" );
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document.write( "Combine like terms to get:\r<BR>\n" );
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document.write( "x^4 - x\r<BR>\n" );
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document.write( "That's your answer.\r<BR>\n" );
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document.write( "You can confirm by taking any value of x and showing that the original form of the equation and the final form of the equation give you the same answer.\r<BR>\n" );
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document.write( "Let x = 3\r<BR>\n" );
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document.write( "(x-1) * (x^3 + x^2 + x) becomes:<BR>\n" );
document.write( "2 * (27 + 9 + 3) which becomes:<BR>\n" );
document.write( "2 * 39 which becomes:<BR>\n" );
document.write( "78\r<BR>\n" );
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document.write( "x^4 - x becomes:<BR>\n" );
document.write( "81 - 3 which becomes:<BR>\n" );
document.write( "78\r<BR>\n" );
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document.write( "Since the original form of the equation and the final form of the equation give you the same answer, then you should be good.\r<BR>\n" );
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document.write( "If you graph both equations, they should be identical.\r<BR>\n" );
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document.write( "A graph of the original equation looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-5%2C5%2C-10%2C100%2C%28x-1%29%2A%28x%5E3%2Bx%5E2%2Bx%29%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-5%2C5%2C-10%2C100%2C%28x-1%29%2A%28x%5E3%2Bx%5E2%2Bx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A graph of the final equation looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-5%2C5%2C-10%2C100%2C100%2Cx%5E4+-+x%29%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-5%2C5%2C-10%2C100%2C100%2Cx%5E4+-+x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a graph of both equations superimposed on each other looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-5%2C5%2C-10%2C100%2C%28x-1%29%2A%28x%5E3%2Bx%5E2%2Bx%29%2Cx%5E4+-+x%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-5%2C5%2C-10%2C100%2C%28x-1%29%2A%28x%5E3%2Bx%5E2%2Bx%29%2Cx%5E4+-+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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