document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115087>Question 115087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operation.\r<BR>\n" );
document.write( "\n" );
document.write( "(5y squared - 3y + 4)-(3y squared - 7y + 2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83879 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=83879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want to simplify:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285y%5E2-3y%2B4%29-%283y%5E2-7y%2B2%29 ALIGN=MIDDLE  ALT=\"%285y%5E2-3y%2B4%29-%283y%5E2-7y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The biggest mistake people make with this sort of problem is forgetting to distribute the minus sign across each of the terms in the second set of parentheses.  You should remove the parentheses first:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%5E2-3y%2B4-3y%5E2%2B7y-2 ALIGN=MIDDLE  ALT=\"5y%5E2-3y%2B4-3y%5E2%2B7y-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Look carefully at the signs on the last three terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, rearrange the terms to collect like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%5E2-3y%5E2-3y%2B7y%2B4-2 ALIGN=MIDDLE  ALT=\"5y%5E2-3y%5E2-3y%2B7y%2B4-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "And then combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2%2B4y%2B2 ALIGN=MIDDLE  ALT=\"2y%5E2%2B4y%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you are done.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );