document.write( "Question 425770: factor this polynomial 27r^2-12s^2 \n" ); document.write( "

Algebra.Com's Answer #296353 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"27r%5E2-12s%5E2\"$
\n" ); document.write( "When factoring, always start with the Greatest Common Factor (GCF) unless it is a 1. In this case the GCF is 3:
\n" ); document.write( " $\"3%289r%5E2-4s%5E2%29\"$
\n" ); document.write( "Now we look to other factoring techniques. In this case, the $\"9r%5E2-4s%5E2\"$ is a difference of squares so we can use the $\"a%5E2-b%5E2+=+%28a%2Bb%29%28a-b%29\"$ pattern to factor it:
\n" ); document.write( " $\"3%283r%2B2s%29%283r-2s%29\"$
\n" ); document.write( "None of the remaining factors will factor further so we are finished.
\n" ); document.write( " \n" ); document.write( "

\n" );