document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631467>Question 631467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> completely factor the expression 4q^2+27r^4<BR>\n" );
document.write( "a. 31q^2+27r^4<BR>\n" );
document.write( "b. 27r^4(4q^2+1)<BR>\n" );
document.write( "c. 4q(q+27r)<BR>\n" );
document.write( "d. prime<BR>\n" );
document.write( "If you could please explain I would really appreciate it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397596 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=397596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are no common factors between the coefficients 4 and 27. There are also no common factors between the variables q^2 and r^4\r<BR>\n" );
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document.write( "So the GCF is 1. This means that it's trivial to factor out the GCF (since we get the same thing really after we do)\r<BR>\n" );
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document.write( "Also, this is a binomial. This means that only the difference of squares rule is used to factor, but we have a sum (and not a difference) of terms.\r<BR>\n" );
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document.write( "So we can't use that method either.\r<BR>\n" );
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document.write( "So this expression is <font color=\"red\">prime</font> since it can't be factored.\r<BR>\n" );
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document.write( "Note: you can also go through the other options and rule them out. For example, choice C) is 4q(q+27r) which distributes to 4q^2 + 108rq, which is NOT the original expression. So choice C is out. You would do the same for the other answer choices.\r<BR>\n" );
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