document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110064>Question 110064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (-6x(squared)+14x)-(-3x(squared)+5x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80193 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=80193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6x%5E2%2B14x%29-%28-3x%5E2%2B5x%29 ALIGN=MIDDLE  ALT=\"%28-6x%5E2%2B14x%29-%28-3x%5E2%2B5x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Two rules apply to this problem:<BR>\n" );
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document.write( "1) If parentheses are preceded by a plus (+) sign (or an assumed + sign because there is no <BR>\n" );
document.write( "sign) the parentheses can be removed without changing the signs of the terms they contain. And<BR>\n" );
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document.write( "2) If parentheses are preceded by a minus (-) sign they can be removed (along with the minus sign)<BR>\n" );
document.write( "by changing the original signs of all the terms inside that set of parentheses.<BR>\n" );
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document.write( "So, In the given problem, the first set of parentheses has a presumed + sign. Therefore,<BR>\n" );
document.write( "according to rule 1, the first set of parentheses can be removed without affecting the<BR>\n" );
document.write( "signs of the terms inside.  This changes the problem to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%5E2%2B14x-%28-3x%5E2%2B5x%29 ALIGN=MIDDLE  ALT=\"-6x%5E2%2B14x-%28-3x%5E2%2B5x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "For the remaining set of parentheses, rule 2 applies because the parentheses are preceded by a<BR>\n" );
document.write( "minus sign. Erase the minus sign and the parentheses and change the signs of the terms inside<BR>\n" );
document.write( "the parentheses. When you do that you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%5E2%2B14x%2B3x%5E2-5x%29 ALIGN=MIDDLE  ALT=\"-6x%5E2%2B14x%2B3x%5E2-5x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now you can combine like terms.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%5E2 ALIGN=MIDDLE  ALT=\"-6x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B+3x%5E2 ALIGN=MIDDLE  ALT=\"%2B+3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > combine to give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2 ALIGN=MIDDLE  ALT=\"-3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x ALIGN=MIDDLE  ALT=\"14x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x ALIGN=MIDDLE  ALT=\"-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > combine to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x ALIGN=MIDDLE  ALT=\"9x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The final result of this problem is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2+%2B+9x ALIGN=MIDDLE  ALT=\"-3x%5E2+%2B+9x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you to understand the process of solving this problem.<BR>\n" );
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