document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112856>Question 112856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the square.\r<BR>\n" );
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document.write( "(7p+6q) squared </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82257 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=82257\">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=7p%2B6q%29%5E2 ALIGN=MIDDLE  ALT=\"7p%2B6q%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To expand this recognize that when you square a quantity you multiply it by itself. <BR>\n" );
document.write( "Therefore, multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287p%2B6q%29 ALIGN=MIDDLE  ALT=\"%287p%2B6q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by itself. You can write this problem as:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287p%2B6q%29%2A%287p%2B6q%29 ALIGN=MIDDLE  ALT=\"%287p%2B6q%29%2A%287p%2B6q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To do this multiplication, you can first multiply the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7p ALIGN=MIDDLE  ALT=\"7p\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the first set of parentheses<BR>\n" );
document.write( "by each of the terms in the second set of parentheses. In other words, multiply:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7p%2A%287p+%2B+6q%29 ALIGN=MIDDLE  ALT=\"7p%2A%287p+%2B+6q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49p%5E2+%2B+42pq ALIGN=MIDDLE  ALT=\"49p%5E2+%2B+42pq\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
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document.write( "Next multiply the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6q ALIGN=MIDDLE  ALT=\"6q\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the first set of parentheses by each of the terms in the second<BR>\n" );
document.write( "set of parentheses. In other words, this time multiply:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6q%2A%287p+%2B+6q%29 ALIGN=MIDDLE  ALT=\"6q%2A%287p+%2B+6q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42pq+%2B+36q%5E2 ALIGN=MIDDLE  ALT=\"42pq+%2B+36q%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finally, add the two products and simplify. Adding the two products:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49p%5E2+%2B+42pq+%2B+42pq+%2B+36q%5E2 ALIGN=MIDDLE  ALT=\"49p%5E2+%2B+42pq+%2B+42pq+%2B+36q%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice that the two middle terms can be combined, and the resulting polynomial is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49p%5E2+%2B+84pq+%2B36q%5E2 ALIGN=MIDDLE  ALT=\"49p%5E2+%2B+84pq+%2B36q%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "That's the answer to the problem. Hope this helps you to understand how to square a binomial<BR>\n" );
document.write( "quantity.<BR>\n" );
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