document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=689905>Question 689905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you plese help me perform the indicated operations? I think I'm starting with the wrong strategy.\r<BR>\n" );
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document.write( "(3k^3 -5k^2 +8k-2) -(4k^3+11k+7) +(2k^2-5k)<-- original problem\r<BR>\n" );
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document.write( "k^2(3k-5) + 2(4k - 1) that's as far as I got because the method of factoring didn't seem to work for the next operation.  \r<BR>\n" );
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document.write( "Sincerely, <BR>\n" );
document.write( "Amy B<BR>\n" );
document.write( "abyrd30@ivytech.edu\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426295 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=426295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No factoring needed for this problem. All you have to do is eliminate parentheses, and collect like terms to simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283k%5E3-5k%5E2%2B8k-2%29-%284k%5E3%2B11k%2B7%29%2B%282k%5E2-5k%29=3k%5E3-5k%5E2%2B8k-2-4k%5E3-11k-7%2B2k%5E2-5k ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that when I eliminate the parenthesis preceded by a minus sign, I have to change the sign of the coefficients that were in that parenthesis.<BR>\n" );
document.write( "That makes sense, because when go to a store with 20 dollars, and you pay for something that costs 5 dollars and 15 cents, you are subtracting from your wallet (5 dollars + 15 cents).<BR>\n" );
document.write( "After you take that amount from you wallet, you subtracted the 5 dollars and you subtracted the 15 cents.<BR>\n" );
document.write( "You are left with<BR>\n" );
document.write( "20 dollars - (5 dollars+15 cents) = 20 dollars - 5 dollars - 15 cents.<BR>\n" );
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document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3k%5E3-5k%5E2%2B8k-2-4k%5E3-11k-7%2B2k%5E2-5k=%283k%5E3-4k%5E3%29%2B%282k%5E2-5k%5E2%29%2B%288k-11k-5k%29-7-2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I am using brackets to show how I rearranged the terms to collect like terms, but I would normally skip that intermediate expression, and get directly to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3k%5E3-5k%5E2%2B8k-2-4k%5E3-11k-7%2B2k%5E2-5k=highlight%28-k%5E3-3k%5E2-8k-9%29 ALIGN=MIDDLE  ALT=\"3k%5E3-5k%5E2%2B8k-2-4k%5E3-11k-7%2B2k%5E2-5k=highlight%28-k%5E3-3k%5E2-8k-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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