document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81306>Question 81306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the LCM of q^2-4 and q^2+10q+16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58274 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=58274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "Find the LCM of q^2-4 and q^2+10q+16\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "Using the identity, (a+b)(a-b)= a^2 -b^2\r<BR>\n" );
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document.write( "q^2 - 4  = q^2 - 2^2  can be factorised as (q+2)(q-2).\r<BR>\n" );
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document.write( "Using the method of splitting the middle term q^2+10q+16 can be factorised as follows.....\r<BR>\n" );
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document.write( "q^2 + 10q + 16 = q^2 + 8q + 2q +16\r<BR>\n" );
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document.write( "==> = (q^2 + 8q) + (2q +16)\r<BR>\n" );
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document.write( "Now take out the common terms.....\r<BR>\n" );
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document.write( "==> = q(q + 8) + 2(q +8)\r<BR>\n" );
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document.write( "Here (q+8) is common to both the terms.....so we can write it as...\r<BR>\n" );
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document.write( "==> = (q+2)(q + 8)\r<BR>\n" );
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document.write( "So the expressions have become\r<BR>\n" );
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document.write( "q^2 - 4  =  (q+2)(q-2).\r<BR>\n" );
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document.write( "q^2 + 10q + 16= (q+2)(q + 8)\r<BR>\n" );
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document.write( "So the LCM of the given expressions is (q+2)(q-2)(q+8)<BR>\n" );
document.write( "That is take all the factors of both the expressions excluding the repeated one.\r<BR>\n" );
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document.write( "Hope you found the explanation useful.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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