document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79610>Question 79610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, please help! The problem is:<BR>\n" );
document.write( "Complete the following:<BR>\n" );
document.write( "10p^2 - pq - 3q^2 = (5p - 3q)(?)<BR>\n" );
document.write( "I have no idea what that question mark is there for, or what it's asking me to do on this problem. Thanks for your help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57134 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given expression is: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10p%5E2+-+pq+-+3q%5E2+ ALIGN=MIDDLE  ALT=\"+10p%5E2+-+pq+-+3q%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (5p - 3q)(?) \r<BR>\n" );
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document.write( "Here the question mark indicates we are supposed to fill in the other term which when multiplied gives the term on the left hand side. \r<BR>\n" );
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document.write( "So inorder to fill in that term, we faactorize the term which is given on the left hand side.\r<BR>\n" );
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document.write( "The factorization goes this way. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10p%5E2+-+pq+-+3q%5E2+ ALIGN=MIDDLE  ALT=\"+10p%5E2+-+pq+-+3q%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=+10p%5E2+-+6pq+-++5pq+-+3q%5E2+ ALIGN=MIDDLE  ALT=\"+10p%5E2+-+6pq+-++5pq+-+3q%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=+2p%285p++-+3q%29+-+1q%285p+-+3q%29 ALIGN=MIDDLE  ALT=\"+2p%285p++-+3q%29+-+1q%285p+-+3q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Taking out the common terms, we get: \r<BR>\n" );
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document.write( "==> (2p - q)(5p - 3q) \r<BR>\n" );
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document.write( "Comparing these two terms with the right hans terms, we find that there is only term present that is(5p - 3q) and the term that is missing is: (2p - q) \r<BR>\n" );
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document.write( "Hence, in place of the question mark, just write the term (2p - q)  \r<BR>\n" );
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document.write( "Thus, the solution.\r<BR>\n" );
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document.write( "Regards,<BR>\n" );
document.write( "Chitra </SPAN>\n" );
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