document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242949>Question 242949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I just don't understand how to do this. Please help?\r<BR>\n" );
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document.write( "Factor by grouping: 4p^2 - q^2 + 2p + q\r<BR>\n" );
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document.write( "Thanks SO much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177973 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=177973\">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=4p%5E2+-+q%5E2+%2B+2p+%2B+q ALIGN=MIDDLE  ALT=\"4p%5E2+-+q%5E2+%2B+2p+%2B+q\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284p%5E2+-+q%5E2%29+%2B+%282p+%2B+q%29 ALIGN=MIDDLE  ALT=\"%284p%5E2+-+q%5E2%29+%2B+%282p+%2B+q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group the terms into pairs\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282p%29%5E2+-+q%5E2%29+%2B+%282p+%2B+q%29 ALIGN=MIDDLE  ALT=\"%28%282p%29%5E2+-+q%5E2%29+%2B+%282p+%2B+q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p%5E2 ALIGN=MIDDLE  ALT=\"4p%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p%29%5E2 ALIGN=MIDDLE  ALT=\"%282p%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p%2Bq%29%282p-q%29+%2B+%282p+%2B+q%29 ALIGN=MIDDLE  ALT=\"%282p%2Bq%29%282p-q%29+%2B+%282p+%2B+q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first group using the difference of squares formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p%2Bq%29%28%282p-q%29+%2B+1%29 ALIGN=MIDDLE  ALT=\"%282p%2Bq%29%28%282p-q%29+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2p%2Bq ALIGN=MIDDLE  ALT=\"2p%2Bq\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p%2Bq%29%282p-q+%2B+1%29 ALIGN=MIDDLE  ALT=\"%282p%2Bq%29%282p-q+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Remove the inner parenthesis.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p%5E2+-+q%5E2+%2B+2p+%2B+q ALIGN=MIDDLE  ALT=\"4p%5E2+-+q%5E2+%2B+2p+%2B+q\"   DISABLED_style= \"max-width:90%; height:auto;\" > completely factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282p%2Bq%29%282p-q+%2B+1%29 ALIGN=MIDDLE  ALT=\"%282p%2Bq%29%282p-q+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p%5E2+-+q%5E2+%2B+2p+%2B+q=%282p%2Bq%29%282p-q+%2B+1%29 ALIGN=MIDDLE  ALT=\"4p%5E2+-+q%5E2+%2B+2p+%2B+q=%282p%2Bq%29%282p-q+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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