document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102005>Question 102005</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534493947/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I don't even understand how to simplify these type problems! Yikes! Let alone Multiply and Simplify! I can only hope someone out there can help me solve and understand the steps to solve this problem!? Thank You.\r<BR>\n" );
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document.write( "Multiply and Simplify:<BR>\n" );
document.write( "(Note this problem is not from the textbook we study from).\r<BR>\n" );
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document.write( "(x^2 - x - 20)  (x^2 + 7x + 10)<BR>\n" );
document.write( "--------------* ---------------<BR>\n" );
document.write( "(x^2 -3x -10)   (x^2 + 4x -5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74154 by </B><A HREF=/tutors/aboutme.mpl?userid=mathemanic><B>mathemanic(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathemanic><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=74154\">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=+%28%28x%5E2+-+x+-+20%29%2F%28x%5E2+-+3x+-+10%29%29+%2A+%28%28x%5E2+%2B+7x+%2B+10%29%2F%28x%5E2+%2B+4x+-+5%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28%28x%5E2+-+x+-+20%29%2A%28x%5E2+%2B+7x+%2B+10%29%29+%2F+%28%28x%5E2+-+3x+-+10%29%2A%28x%5E2+%2B+4x+-+5%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First, look at the highlighted part and factorize the quadratic forms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2+-+x+-+20%29%2A%28x%5E2+%2B+7x+%2B+10%29+ ALIGN=MIDDLE  ALT=\"+%28x%5E2+-+x+-+20%29%2A%28x%5E2+%2B+7x+%2B+10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x+-+5%29%2A%28x+%2B+4%29%2A%28x+%2B+5%29%2A%28x+%2B+2%29+ ALIGN=MIDDLE  ALT=\"+%28x+-+5%29%2A%28x+%2B+4%29%2A%28x+%2B+5%29%2A%28x+%2B+2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x+-+5%29%2A%28x+%2B+4%29%2A%28x+%2B+5%29%2A%28x+%2B+2%29%29+%2F+highlight%28%28x%5E2+-+3x+-+10%29%2A%28x%5E2+%2B+4x+-+5%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Again, look at the highlighted part and factorize them.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2+-+3x+-+10%29%2A%28x%5E2+%2B+4x+-+5%29+ ALIGN=MIDDLE  ALT=\"+%28x%5E2+-+3x+-+10%29%2A%28x%5E2+%2B+4x+-+5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x+-+5%29%2A%28x+%2B+2%29+%2A+%28x+%2B+5%29%2A%28x+-+1%29+ ALIGN=MIDDLE  ALT=\"+%28x+-+5%29%2A%28x+%2B+2%29+%2A+%28x+%2B+5%29%2A%28x+-+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So now we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x+-+5%29%2A%28x+%2B+4%29%2A%28x+%2B+5%29%2A%28x+%2B+2%29%29+%2F+%28%28x+-+5%29%2A%28x+%2B+2%29%2A%28x+%2B+5%29%2A%28x+-+1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "See that (x - 5) cancels (x - 5); (x + 5) cancels (x + 5); and (x + 2) cancels (x + 2), so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28cross%28%28x+-+5%29%29%2A%28x+%2B+4%29%2Across%28%28x+%2B+5%29%29%2Across%28%28x+%2B+2%29%29%29+%2F+%28cross%28%28x+-+5%29%29%2Across%28%28x+%2B+2%29%29%2Across%28%28x+%2B+5%29%29%2A%28x+-+1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x+%2B+4%29+%2F+%28x+-+1%29+ ALIGN=MIDDLE  ALT=\"+%28x+%2B+4%29+%2F+%28x+-+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "is the simplified form. </SPAN>\n" );
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